Question

Write the fraction $\frac{729}{1458}$as a ratio:

Answer 1

First, we convert the fraction into the simplest form by dividing the numerator and denominator by the HCF.

HCF=Highest Common Factor

To find the HCF we write the prime factorization of 729 and 1458 .

Factors of 729=$3\times 3\times 3\times 3\times 3\times 3$

Factors of 1458=$2\times 3\times 3\times 3\times 3\times 3\times 3$

HCF(729,1458)=$3\times 3\times 3\times 3\times 3\times 3$=729

Hence $\frac{729÷729}{1458÷729}=\frac{1}{2}$

So ratio=1:2