Question

How do you write `10/12` in simplest form?

Answer 1

`5/6`

Explanation:

To find the fractions in simplest terms it is necessary to divide out any common factors.
Both the numerator and denominator contain even values, so you can divide them each by the common factor of `2`.

The first step is to factor each part of the fraction:

`10 = 2 \times 5`
`12 = 2 \times 6`

so `\frac{10\div2}{12\div2}\rArr\frac{\stackrel{5}{\cancel{10}}}{\stackrel{6}{\cancel{12}}}= 5/6`