**Worksheet on Word Problems on Rational Numbers :**

Worksheet given in this section is much useful to the students who would like to practice solving word problems on rational numbers.

**Problem 1 :**

John reads 1/3 part of a book in 1 hour. How much part of the book will he read in 2 1/5 hours?

**Problem 2 :**

A teacher wants to give pizza to her students and each student can eat 1/4 of a pizza. If there are 25 students in her class, how many pizzas does she need ?

**Problem 3 :**

Mason made 3/4 of a pound of trail mix. If he puts 3/8 of a pound into each bag, how many bags can Mason fill?

**Problem 4 :**

A shop keeper sold 7 3/4 kg, 2 1/2 kg and 3 3/5 kg of sugar to three customers in a day.Find the total weight of sugar on that day?

**Problem 5 :**

John bought 25 kg of Rice and he used 1 3/4 kg on the first day, 4 1/2 kg on the second day. Find the remaining quantity of rice left.

**Problem 1 : **

John reads 1/3 part of a book in 1 hour. How much part of the book will he read in 2 1/5 hours?

**Solution :**

The part of the book read by John in 1 hour = 1/3

So, the part of the book read by him in 2 1/5 hours

= 2 1/5 x (1/3)

= (11/5) x (1/3)

= 11/15

**Problem 2 : **

A teacher wants to give pizza to her students and each student can eat 1/4 of a pizza. If there are 25 students in her class, how many pizzas does she need ?

**Solution :**

To find how many pizzas needed, we have to divide 25 by 1/4.

**Step 1 :**

Take the reciprocal of the divisor 1/4.

1/4 ---- reciprocal ----> 4

**Step 2 : **

Multiply 25 by 4

(25) x (4) = 100

Hence, the teacher needs 100 pizzas.

**Problem 3 : **

Mason made 3/4 of a pound of trail mix. If he puts 3/8 of a pound into each bag, how many bags can Mason fill?

**Solution :**

To find the number of bags, we have to divide 3/4 by 3/8.

**Step 1 :**

Take the reciprocal of the divisor 3/8.

3/8 ---- reciprocal ----> 8/3

**Step 2 : **

Multiply 3/4 by 8/3

(3/4) x (8/3)

**Step 3 : **Simplify

(1/1) x (2/1)

**Step 4 : **Multiply

(1/1) x (2/1) = 2

Hence, Mason fill can fill the trail mix in 2 bags.

**Problem 4 :**

A shop keeper sold 7 3/4 kg, 2 1/2 kg and 3 3/5 kg of sugar to three customers in a day.Find the total weight of sugar on that day?

**Solution :**

To find the total weight of sugar on that day, we have to add the above quantities.

Total weight of sugar = 7 3/4 + 2 1/2 + 3 3/5

Converting the above mixed fractions as improper fractions, we get

= (31/4) + (5/2) + (18/5)

Since the denominators of these two fractions are not same, we have to take L.C.M

L.C.M (4, 2, 5) = 20

= (31/4) x (5/5) + (5/2) x (10/10) + (18/5) x (4/4)

= (155/20) + (50/20) + (72/20)

= (155 + 50 + 72)/20

= 277/20

= 13 17/20

Hence the total weight of sugar sold = 13 17/20 kg.

**Problem 5 :**

John bought 25 kg of Rice and he used 1 3/4 kg on the first day, 4 1/2 kg on the second day. Find the remaining quantity of rice left.

**Solution :**

Rice used on first day = 1 3/4 kg

Rice used on second day = 4 1/2 kg

Quantity of rice used on first and second day

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

Converting the above mixed fraction in to improper fraction, we get

= 7/4 + 9/2

= 7/4 + (9/2) x (2/2)

= 7/4 + 18/4

= (7 + 18)/4

= 25/4

Remaining quantity of rice left = 25 - (25/4)

= (100 - 25)/4

= 75/4

= 18 3/4 kg

Remaining quantity of rice = 18 3/4 kg.

After having gone through the stuff given above, we hope that the students would have understood "Worksheet on word problems on rational numbers"

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