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

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?

**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**

HTML Comment Box is loading comments...

**WORD PROBLEMS**

**HCF and LCM word problems**

**Word problems on simple equations **

**Word problems on linear equations **

**Word problems on quadratic equations**

**Area and perimeter word problems**

**Word problems on direct variation and inverse variation **

**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**

**Markup and markdown word problems **

**Word problems on mixed fractrions**

**One step equation word problems**

**Linear inequalities word problems**

**Ratio and proportion word problems**

**Word problems on sets and venn diagrams**

**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 **

**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 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**