# DIVIDING RATIONAL NUMBERS WORD PROBLEMS WORKSHEET

## About "Dividing rational numbers word problems worksheet"

Dividing rational numbers word problems worksheet :

Worksheet on dividing rational numbers word problems is much useful to the students who would like practice solving real world problems using division of rational numbers.

## Dividing rational numbers word problems worksheet - Problems

1.  A diver needs to descend to a depth of 100 feet below sea level. She wants to do it in 5 equal descents. How far should she travel in each descent ?

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 ?

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 ?

4.  Raymond bought 5 rolls of paper towels. He got 99 4/5 meters of paper towels in all. How many meters of paper towels were on each roll ?

## Dividing rational numbers word problems worksheet - Solution

Problem 1 :

A diver needs to descend to a depth of 100 feet below sea level. She wants to do it in 5 equal descents. How far should she travel in each descent ?

Solution :

To find how far she should travel in each descent, we have to divide 100 by 5.

Step 1 :

Take the reciprocal of the divisor 5.

---- reciprocal ----> 1/5

Step 2 :

Multiply 100 by 1/5

(100) x (1/5)

Step 3 : Simplify

(20) x (1/1)

Step 4 : Multiply

(20) x (1/1)  =  20

Hence, she should travel 20 feet in each descent.

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 :

Raymond bought 5 rolls of paper towels. He got 99 4/5 meters of paper towels in all. How many meters of paper towels were on each roll ?

Solution :

To find no. of meters of paper towels were on each roll, we have to divide 99 4/5 by 5.

Step 1 :

Take the reciprocal of the divisor 5.

5 ---- reciprocal ----> 1/5

Step 2 :

Multiply 99 4/5 by 1/5

(99 4/5) x (1/5)  =  (499/5) x (1/5)

(99 4/5) x (1/5)  =  499/25

(99 4/5) x (1/5)  =  19 24/25

Hence, 19 24/25 meters of paper towels were on each roll.

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