Question

i) Fractions obtained on multiplying or dividing both numerator and denominator
of given fraction by the same non-zero number are called​

Answer 1

Fractions obtained by multiplying or dividing both the numerator and denominator of given fraction by same non zero number are called Equivalent Fractions.

• Multiplying the numerator and denominator with same non zero number is equal to original fraction.
• if a non zero number (n) is multiplying numerator and denominator, then it become $\frac{n}{n}$ = 1
• The result of this non zero number multiplication is similar to multypling a number with one (1)

Answer 2

Fractions obtained on multiplying or dividing both numerator and  Denominator of given fraction by the same non-zero number are called​ EQUIVALENT FRACTIONS

Step-by-step explanation:

Fractions obtained on multiplying or dividing both numerator and  Denominator of given fraction by the same non-zero number are called​ EQUIVALENT FRACTIONS

For example

1/2   =  2/4  =  4/8

3/5  = 6/10  = 30/50

p/q  = np/nq

p/q  = (p/n)/(q/n)

A given fraction and various fractions obtained by multiplying (or dividing) its numerator and denominator both by the same non-zero number, are called equivalent fractions.

The value of the fraction does not change if both the numerator and the denominator are multiplied by the same natural number other than zero.