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If p/q is a rational number and m is a non-zero integer, then p/q = p × m / q × m. Is the given statement true or false?

Solution:

Given, if p/q is a rational number and m is a non-zero integer, then p/q = p × m / q × m.

We have to determine if the given statement is true or false

If the numerator and denominator of a rational number are multiplied or divided by a non-zero integer, we get a rational number which is said to be equivalent to the given rational number.

Let m = 1

p × m / q × m = p × (1) / q × (1) = p/q

Let m = 2

p × m / q × m = p × (2) / q × (2) = p/q

Let m = 3

p × m / q × m = p × (3) / q × (3) = p/q

Therefore, it is true that p/q = p × m / q × m

✦ Try This: Find the value of 2/9 - 7/8

Given, the rational numbers are 2/9 and 7/8.

We have to find the value of subtraction of the given numbers.

Now, 2/9 - 7/8 = [2(8) - 7(9)]/8(9)

= (16 - 63)/72

= -47/72

Therefore, the required value is -47/72.

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

NCERT Exemplar Class 7 Maths Chapter 8 Problem 51

If p/q is a rational number and m is a non-zero integer, then p/q = p × m / q × m. Is the given statement true or false?

Summary:

The given statement, “If p/q is a rational number and m is a non-zero integer, then p/q = p × m / q × m” is true

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