Write the simplest form of $12 : 32$ ?

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Solution

Simplify the ratio:
Simplest form of $12 : 32$ can be written as,
Prime factorisation of $12 = 2 \times 2 \times 3$
Prime factorisation of $32 = 2 \times 2 \times 2 \times 2 \times 2$
Highest Common Factor of $12, 32 = 2 \times 2 = 4$
$12 : 32 = \frac{12}{32} (D i v i d i n g n u m e r a t o r a n d d e n o m i n a t o r b y 4) = \frac{3}{8} = 3 : 8$
Hence, simplest form of $12 : 32$ is $3 : 8$ .

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