Simplify: 3/7 ÷ (21/-55)

Solution:

Given, 3/7 ÷ (21/-55)

We have to find the simplified value.

Reciprocal of 21/-55 = 1/(21/-55)

= -55/21

Now, 3/7 ÷ (21/-55) = 3/7 × (-55/21)

= 3 × (-55) / (7 × 21)

If the signs of the factors are different, the product is negative.

= -55 / (7 × 7)

= -55/49

Therefore, the simplified value is -55/49.

✦ Try This: Simplify: 7/9 ÷ (7/18)

Given, 7/9 ÷ (7/18)

We have to find the simplified value.

Reciprocal of 7/18 = 1/(7/18)

= 18/7

Now, 7/9 ÷ (7/18) = 7/9 × (18/7)

= (7 × 18) / (9 × 7)

= 18/9

= 2

Therefore, the simplified value is 2.

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 9

NCERT Exemplar Class 7 Maths Chapter 8 Problem 82(i)

Summary:

The simplified value of 3/7 ÷ (21/-55) is -55/49

☛ Related Questions:

Math worksheets and
visual curriculum