Question

6 / 712 / 15 which one is greater and how do I explain it

Answer 1

Answer:

Greater fraction is

$\frac{6}{7}$

Step-by-step explanation:

we are given two fractions

$\frac{6}{7}$   and $\frac{12}{15}$

First fraction:

$\frac{6}{7}$

Second fraction:

$\frac{12}{15}$

We can simplify it

$\frac{12}{15}=\frac{3\times 4}{3\times 5}$

$\frac{12}{15}=\frac{4}{5}$

To compare them , firstly we should make common denominator

denominators are 7 and 5

so, common denominator is

$=7\times 5=35$

now, we can make each denominator as 35

$\frac{6}{7}=\frac{6\times 5}{7\times 5}$

$\frac{6}{7}=\frac{30}{35}$

$\frac{4}{5}=\frac{4\times 7}{5\times 7}$

$\frac{4}{5}=\frac{28}{35}$

$\frac{12}{15}=\frac{28}{35}$

so, we can see that both fractions have common denominator =35

and greater numerator is 30

so,

Greater fraction is

$\frac{6}{7}$