# EVALUATE NUMERICAL EXPRESSIONS INVOLVING RATIONAL NUMBERS WORKSHEET

## About "Evaluate numerical expressions involving rational numbers worksheet"

Evaluate numerical expressions involving rational numbers worksheet :

Here we are going to see some practice questions based on the topic evaluate numerical expressions involving rational numbers.

(1)  Find 1/4 of 3/5

(2)  Evaluate 4/9 ÷ 5

(3)  Evaluate  0.9 + 0.2 ÷ 2

(4)  Evaluate  (4/5) x (1/2) - (1/5)

(5)  Evaluate  (3/4) ÷ (1/2) - 1

(6) Evaluate  (1/2) x (4/5) + 1

## Evaluate numerical expressions involving rational numbers worksheet - Solution

Question 1 :

Find 1/4 of 3/5

Solution :

=  1/4 of 3/5

=  (1/4) x (3/5)

=  3/20

Question 2 :

Evaluate 4/9 ÷ 5

Solution :

=  (4/9) ÷ 5

=  (4/9) ÷ (5/1)

=  (4/9) x (1/5)

=  4/45

Question 3 :

Evaluate  0.9 + 0.2 ÷ 2

Solution :

=  0.9 + 0.2 ÷ 2

Based on the "BODMAS" or "PEMDAS" rule, first we have to perform division.

=  0.9 + (0.2 ÷ 2)

=  0.9 + 0.1

=  1.0

Question 4 :

Evaluate  (4/5) x (1/2) - (1/5)

Solution :

=  (4/5) x (1/2) - (1/5)

Based on the "BODMAS" or "PEMDAS" rule, first we have to perform multiplication.

=  (4/5) x (1/2) - (1/5)

=  (4/10) - (1/5)

In order to subtract the above fractions, we have to make the denominators same. For that let us take L.C.M

=  (4/10) - (1/5) x (2/2)

=  (4/10) - (2/10)

=  (4 - 2)/10

=  2/10

=  1/5

Questions 5 :

Evaluate  (3/4) ÷ (1/2) - 1

Solution :

=  (3/4) ÷ (1/2) - 1

Based on the "BODMAS" or "PEMDAS" rule, first we have to perform division.

=  (3/4) x (2/1) - 1

=  (6/4) - 1

Simplifying 6 and 4, we get (3/2) - 1

In order to subtract the above fractions, we have to make the denominators same. For that let us take L.C.M

=  (3/2) - (1/1) x (2/2)

=  (3/2) - (2/2)

=  (3 - 2)/2

=  1/2

Question 6 :

Evaluate  (1/2) x (4/5) + 1

Solution :

=  (1/2) x (4/5) + 1

Based on the "BODMAS" or "PEMDAS" rule, first we have to perform multiplication.

=  (1/2) x (4/5) + 1

=  (4/10) + 1

Simplifying 4 and 10, we get (2/5) + 1

In order to subtract the above fractions, we have to make the denominators same. For that let us take L.C.M

=  (2/5) + (1/1) x (5/5)

=  (2/5) + (5/5)

=  (2 + 5)/5

=  7/5

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