DIVIDING RATIONAL NUMBERS WORD PROBLEMS WORKSHEET

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 ?

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 :

Raymond bought 5 rolls of paper towels. He got 99⅘ meters of paper towels in all. How many meters of paper towels were on each roll ?

Problem 5 :

Find the number of quarters in 8.

Problem 6 :

Find the number halves in 7.

Problem 7 :

Find the number of three-fourths in 6.

Problem 8 :

Find the number of one-fifths in 10.

Answers

1. Answer :

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.

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.

2. Answer :

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.

3. Answer :

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.

4. Answer :

To find no. of meters of paper towels were on each roll, we have to divide 99⅘ by 5.

Step 1 :

Take the reciprocal of the divisor 5.

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

Step 2 :

Multiply 99 4/5 by 1/5.

(99⅘) x (1/5) = (499/5) x (1/5)

= 499/25

= 19²⁴⁄₂₅

Hence, 19²⁴⁄₂₅ meters of paper towels were on each roll.

5. Answer :

One quarter = 1/4

Number of quarters in 8 :

= 8 ÷ (1/4)

Step 1 :

Take the reciprocal of the second rational number.

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

Step 2 : 

Multiply the first rational number 8 by 4.

8 x 4 = 32

There are 32 quarters in 8.

6. Answer :

One half = 1/2

Number of halves in 7 :

= 7 ÷ (1/2)

Step 1 :

Take the reciprocal of the second rational number.

1/2 ----> reciprocal ----> 2

Step 2 : 

Multiply the first rational number 7 by 2.

7 x 2 = 14

There are 14 halves in 7.

7. Answer :

Three-fourth = 3/4

Number of three-fourths in 6 :

= 6 ÷ (3/4)

Step 1 :

Take the reciprocal of the second rational number.

3/4 ----> reciprocal ----> 4/3

Step 2 : 

Multiply the first rational number 6 by 4/3.

6 x (4/3)  

Step 3 : Simplify

2 x (4/1)

Step 4 : Multiply 

2 x (4/1) = 4

There are 4 three fourths in 6.

8. Answer :

One-fifth = 1/5

Number of one-fifths in 10 :

= 10 ÷ (1/5)

Step 1 :

Take the reciprocal of the second rational number.

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

Step 2 : 

Multiply the first rational number 10 by 5.

10 x 5 = 50

There are 50 one-fifths in 10.

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