Question

Create 2 new equivalent fractions by multiplying the numberator and denominator of the given fractions by a non-zero number.

Answer 1

Part a

we have

5/7

Multiply the numerator and denominator by a number

Example (3/3) to obtain an equivalent fraction

(5/7)*(3/3)=1521

15/21 is an equivalent fraction

Part b

we have

4/11

Multiply the numerator and denominator by a number

Example (7/7) to obtain an equivalent fraction

(4/11)*(7/7)=28/77

28/77 is an equivalent fraction

If you multiply the numerator and denominator of a fraction by the same number, the fraction is the same, you obtain an equivalent fraction

Example

you have

4/5

if you multiply 4/5 by 1, the result is the same fraction 4/5

if you have 4/4 this is the same that 1

so

if you multiply the fraction 4/5 by 4/4 or 7/7, is the same that you multiply the fraction by 1

the result is an equivalent fraction

so

4/5*(4/4)=16/20

4/5*(7/7)=28/35

16/20 and 28/35 and 4/5 are equivalent

because

16/20=0.8

28/35=0.8

4/5=0.8

is the same result

the fractions are equivalent