How do you determine whether the ratios are equivalent: 125 and 3615?

The ratio 125 is in simplest form. That is no other factor except 1 will divide into them. If we now simplify the ratio 3615 36 and 15 both have a common factor of 3 which we can divide them by. ⇒3615=36÷315÷3=125 Usually written using cancelling as follows. 3615=⧸3612⧸155=125 Since 3615 reduces to the same value 125 then the ratios are equivalent

Solved: "How do you determine whether the ratios are..."

High School
Algebra
Pre-Algebra
Ratios, rates, proportions

Jameson Powers

Answered question

2022-02-10

How do you determine whether the ratios are equivalent:

\frac{12}{5} and \frac{36}{15}

Answer & Explanation

Deacon Osborn

Beginner2022-02-11Added 18 answers

The ratio $\frac{12}{5}$ is in simplest form.
That is no other factor except 1 will divide into them.
If we now simplify the ratio $\frac{36}{15}$
36 and 15 both have a common factor of 3 which we can divide them by.
$\Rightarrow \frac{36}{15} = \frac{36 \div 3}{15 \div 3} = \frac{12}{5}$
Usually written using cancelling as follows.
$\frac{36}{15} = \frac{⧸ 36^{12}}{⧸ 15^{5}} = \frac{12}{5}$
Since $\frac{36}{15}$ reduces to the same value $\frac{12}{5}$ then the ratios are equivalent

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