# To reduce the rational number to its standard form, we divide its numerator and denominator by their HCF. Is the given statement True or False?

**Solution:**

Given, to reduce the rational number to its standard form, we divide its numerator and denominator by their HCF.

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

If the numerator and denominator of the rational number are coprime numbers, then the given rational number is in its standard form.

If the numerator and denominator are not coprime, then we have to divide both the numerator and denominator by the common factor of both.

On further simplification, we get a numerator and denominator with H.C.F. equal to 1.

Therefore, a rational number is said to be in standard form if the Highest Common Factor(HCF) of the numerator and denominator is 1.

**✦ Try This: **Write down the rational number whose numerator is (-3) × 4, and whose denominator is -8.

Given, the numerator is (-3) × 4 and the denominator is -8.

We have to write the rational number

Numerator = (-3) × 4 = -12

Denominator = -8

p/q = -12/-8

= -6/-4

= 3/2

Therefore, the rational number is 3/2.

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

**NCERT Exemplar Class 7 Maths Chapter 8 Sample Problem 8**

## To reduce the rational number to its standard form, we divide its numerator and denominator by their HCF. Is the given statement True or False?

**Summary:**

The given statement, “To reduce the rational number to its standard form, we divide its numerator and denominator by their HCF” is true

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