# WORD PROBLEMS MIXED FRACTIONS WORKSHEET

## About "Word problems mixed fractions worksheet"

Word problems mixed fractions worksheet are much useful to the kids who would like to practice questions on mixed numbers.

## Word problems mixed fractions worksheet

1)   Linda walked 2 1/3 miles on the first day and 3 2/5 miles on the next day. How many miles did she walk in all ?

2)   David ate 2 1/7 pizzas and he gave 1 3/14 pizzas to his mother. How many pizzas did David have initially ?

3)   Mr. A has 3 2/3 acres of land. He gave 1 1/4 acres of land to his friend. How many acres of land does Mr. A have now ?

4)   Lily added 3 1/3 cups of walnuts to a batch of trail mix. Later she added 1 1/3 cups of almonds. How many cups of nuts did Lily put in the trail mix in all?

5)   In the first hockey games of the year, Rodayo played 1 1/2 periods and 1 3/4 periods. How many periods in all did he play ?

6)   A bag can hold 1 1/2 pounds of flour. If Mimi has 7 1/2 pounds of flour, then how many bags of flour can Mimi make ?

7)   Jack and John went fishing Jack caught 3 3/4 kg of fish and while John  caught 2 1/5 kg of fish. What is the total weight of the fish they caught?

8)   Amy has 3 1/2 bottles in her refrigerator. She used 3/5 bottle in the morning 1 1/4 bottle in the afternoon. How many bottles of milk does Amy have left over ?

9)   A tank has 82 3/4 liters of water. 24 4/5 liters of water were used and the tank was filled with another 18 3/4 liters. What is the final volume of the water in the tank ?

10)   A trader prepared 21 1/2 liters of lemonade. At the end of the day he had 2 5/8 liters left over. How many liters of lemonade were sold by the Trader?

## Word problems mixed fractions worksheet - Answers

Problem 1 :

Linda walked 2 1/3 miles on the first day and 3 2/5 miles on the next day. How many miles did she walk in all ?

Solution :

Total no. of miles she walked =  2 1/3 + 3 2/5

In the above mixed fractions, we have the denominators 3 and 5.

L.C.M of (3, 5) = 15

To simplify the above expression, we have to make the denominators of both the mixed fractions to be 15.

2 1/3 + 3 2/5 =  2 5/15 + 3 6/15

= (2+3) (5/15 + 6/15)             (by regrouping)

= 5 11/15

Hence, she walked 5 11/15 miles in all

Let us look at  the next problem on "Word problems mixed fractions worksheet"

Problem 2 :

David ate 2 1/7 pizzas and he gave 1 3/14 pizzas to his mother. How many pizzas did David have initially ?

Solution :

No. of pizzas he had initially = 2 1/7 + 1 3/14

2 1/7 + 1 3/14  = 2 2/14 + 1 3/14

= (2+1) (2/14 + 3/14)             (by regrouping)

3 5/14

Hence, initially David had 3 5/14 pizzas.

Let us look at  the next problem on "Word problems mixed fractions worksheet"

Problem 3 :

Mr. A has 3 2/3 acres of land. He gave 1 1/4 acres of land to his friend. How many acres of land does Mr. A have now ?

Solution :

Now, no. of acres of land that Mr. A has = 3 2/3 - 1 1/4

In the above mixed fractions, we have the denominators 3 and 4.

L.C.M of (3, 4) = 12

To simplify the above expression, we have to make the denominators of both the mixed fractions to be 12

3 2/3 - 1 1/4 = 3 8/12 - 1 3/12

= (3 - 1) (8/12 - 3/12)             (by regrouping)

= 2 5/12

Now, Mr. A has 2 5/12 acres of land.

Let us look at  the next problem on "Word problems mixed fractions worksheet"

Problem 4 :

Lily added 3 1/3 cups of walnuts to a batch of trail mix. Later she added 1 1/3 cups of almonds. How many cups of nuts did Lily put in the trail mix in all?

Solution :

No. of cups of nuts that Lily put in all = 3 1/3 + 1 1/3

3 1/3 + 1 1/3 = (3+1) (1/3 + 1/3)             (by regrouping)

= 4 2/3

Hence, Lily put 4 2/3 cups of nuts in all

Let us look at  the next problem on "Word problems mixed fractions worksheet"

Problem 5 :

In the first hockey games of the year, Rodayo played 1 1/2 periods and 1 3/4 periods. How many periods in all did he play ?

Solution :

No. of periods in all he played = 1 1/2 + 1 3/4

1 1/2 + 1 3/4 = 1 2/4 + 1 3/4

= (1+1) (2/4 + 3/4)             (by regrouping)

= 2 5/4,     but 5/4 = 1 1/4

So, 2 5/4 = 3 1/4

Hence, no. of periods in all he played = 3 1/4

Let us look at  the next problem on "Word problems mixed fractions worksheet"

Problem 6 :

A bag can hold 1 1/2 pounds of flour. If Mimi has 7 1/2 pounds of flour, then how many bags of flour can Mimi make ?

Solution :

No. of bags = (Total no. of pounds) / (No of pounds per bag)

Since  we use division, we have to convert the given mixed numbers into improper fractions.

Total no. of pounds of flour = 7 1/2 = 15/2

No. of pounds per bag = 1 1/2 = 3/2

Then, no. of bags = (15/2) / (3/2)

= (15/2) x (2/3)

= (15x2) / (2x3)

= 30 / 6

= 5

Hence, the no. of bags that Mimi can make = 5

Let us look at  the next problem on "Word problems mixed fractions worksheet"

Problem 7 :

Jack and John went fishing Jack caught 3 3/4 kg of fish and while John  caught 2 1/5 kg of fish. What is the total weight of the fish they caught?

Solution :

Total weight of the fish they caught = 3 3/4 + 2 1/5

In the above mixed fractions, we have the denominators 4 and 5.

L.C.M of (4, 5) = 20

To simplify the above expression, we have to make the denominators of both the mixed fractions to be 20

3 3/4 + 2 1/5 = 3 15/20 + 2 4/20

= (3 + 2) (15/20 + 4/20)             (by regrouping)

= 5 19/20

Hence, the total weight of the fish they caught = 5 19/20 kg.

Let us look at  the next problem on "Word problems mixed fractions worksheet"

Problem 8 :

Amy has 3 1/2 bottles in her refrigerator. She used 3/5 bottle in the morning 1 1/4 bottle in the afternoon. How many bottles of milk does Amy have left over ?

Solution :

No. of bottles of milk used = 3/5 + 1 1/4

In the above mixed fractions, we have the denominators 5 and 4.

L.C.M of (5, 4) = 20

To simplify the above expression, we have to make the denominators of both the mixed fractions to be 20

3/5  + 1 1/4 = 12/20 + 1 5/20

= 1 (12/20 + 5/20)             (by regrouping)

= 1 17/20

No. of bottles of milk used =  1 17/20

No. of bottles remaining = 3 1/2 - 1 17/20

= 3 10/20 - 1 17/20 ---------(1)

(Numerator of the first fraction is smaller than the second. In subtraction of mixed numbers, always the numerator of the fraction to be greater)

3 10/20 = 2 (10/20 + 1) = 3 (10/20 + 20/20) =  2 30/20

(1) -------> 3 10/20 - 1 17/20 = 2 30/20 - 1 17/20

= (2 - 1)  (30/20 - 17/20)

= 1 (30-17)/20

= 1  13/20

Hence, no. of bottles of milk that Amy has left over = 1 13/20

Let us look at  the next problem on "Word problems mixed fractions worksheet"

Problem 9 :

A tank has 82 3/4 liters of water. 24 4/5 liters of water were used and the tank was filled with another 18 3/4 liters. What is the final volume of the water in the tank ?

Solution :

Initially, the tank has 82 3/4 liters.

24 4/5 liters were used -------> Subtract

The tank was filled with another 18 3/4 liters ---------> Add

So, final volume of the water in tank is

= 82 3/4 - 24 4/5 + 18 3/4

In the above mixed fractions, we have the denominators 4 and 5.

L.C.M of (5, 4) = 20

To simplify the above expression, we have to make the denominators of both the mixed fractions to be 20

= 82 15/20  - 24 16/20 + 18 15/20

= (82 - 24 + 18)  (15/20 - 16/20 + 15/20)             (by regrouping)

= 76 (15-16+15)/20

= 76 14/20

= 76 7/10

Hence, final volume of water in the tank = 76 7/10 liters

Let us look at  the next problem on "Word problems mixed fractions worksheet"

Problem 10 :

A trader prepared 21 1/2 liters of lemonade. At the end of the day he had 2 5/8 liters left over. How many liters of lemonade were sold by the Trader?

Solution :

Initial strock = 21 1/2 liters

Closing stock = 2 5/8 liters

No. of liters sold = Initial stock - closing strock

= 21 1/2 - 2 5/8

= 21 4/8 - 2 5/8 -----------(1)

(Numerator of the first fraction is smaller than the second. In subtraction of mixed numbers, always the numerator of the fraction to be greater)

21 4/8 = 20 (4/8 + 1) = 20 (4/8 + 8/8) = 20 12/8

(1) ----------> 21 4/8 - 2 5/8 = 20 12/8 - 2 5/8

= (20-2) (12/8 - 5/8)             (by regrouping)

=  18 7/8

Hence, no. of liters of lemonade were sold = 18 7/8 liters

After having gone through the examples explained above, we hope that students would have understood "Word problems mixed fractions worksheet".

Apart from the examples, if you want to know more about "Word problems mixed fractions worksheet", please click here.

Related topics

Adding mixed fractions with regrouping

Subtracting mixed fractions with unlike denominators

Adding fraction with unlike denominators

Subtracting fractions with unlike denominators

WORD PROBLEMS

HCF and LCM  word problems

Word problems on simple equations

Word problems on linear equations

Word problems on quadratic equations

Algebra word problems

Word problems on trains

Area and perimeter word problems

Word problems on direct variation and inverse variation

Word problems on unit price

Word problems on unit rate

Word problems on comparing rates

Converting customary units word problems

Converting metric units word problems

Word problems on simple interest

Word problems on compound interest

Word problems on types of angles

Complementary and supplementary angles word problems

Double facts word problems

Trigonometry word problems

Percentage word problems

Profit and loss word problems

Markup and markdown word problems

Decimal word problems

Word problems on fractions

Word problems on mixed fractrions

One step equation word problems

Linear inequalities word problems

Ratio and proportion word problems

Time and work word problems

Word problems on sets and venn diagrams

Word problems on ages

Pythagorean theorem word problems

Percent of a number word problems

Word problems on constant speed

Word problems on average speed

Word problems on sum of the angles of a triangle is 180 degree

OTHER TOPICS

Profit and loss shortcuts

Percentage shortcuts

Times table shortcuts

Time, speed and distance shortcuts

Ratio and proportion shortcuts

Domain and range of rational functions

Domain and range of rational functions with holes

Graphing rational functions

Graphing rational functions with holes

Converting repeating decimals in to fractions

Decimal representation of rational numbers

Finding square root using long division

L.C.M method to solve time and work problems

Translating the word problems in to algebraic expressions

Remainder when 2 power 256 is divided by 17

Remainder when 17 power 23 is divided by 16

Sum of all three digit numbers divisible by 6

Sum of all three digit numbers divisible by 7

Sum of all three digit numbers divisible by 8

Sum of all three digit numbers formed using 1, 3, 4

Sum of all three four digit numbers formed with non zero digits

Sum of all three four digit numbers formed using 0, 1, 2, 3

Sum of all three four digit numbers formed using 1, 2, 5, 6