Simplify: 6/5 × 3/7 - 1/5 × 3/7

Solution:

We have to simplify the given numbers.

Taking out common term,

6/5 × 3/7 - 1/5 × 3/7 = 3/7 [6/5 - 1/5]

Taking 6/5 - 1/5,

Since the numbers have same denominator, we get

6/5 - 1/5 = (6 - 1)/5

= 5/5

= 1

Now, 3/7 [6/5 - 1/5] = 3/7(1)

= 3/7

Therefore, the simplified value is 3/7

✦ Try This: Simplify: 4/5 × 3/2 - 3/10

We have to simplify the given numbers

Taking 4/5 × 3/2,

4/5 × 3/2 = (4 × 3) / (5 × 2)

= 12/10

Now, 4/5 × 3/2 - 3/10 = 12/10 - 3/10

Since the numbers have same denominator, we get

= (12 - 3)/10

= 9/10

Therefore, the simplified value is 9/10.

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

NCERT Exemplar Class 7 Maths Chapter 8 Problem 81(ii)

Summary:

The simplified value of 6/5 × 3/7 - 1/5 × 3/7 is 3/7

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