The simplest form of equivalent fractions is explained and given a fraction, the procedure to find the simplest form is detailed.

*click on the content to continue..*

The picture shows four fractions , `1/2`, `2/4`, `3/6`, and `4/8`. These are equivalent fractions.

A fraction without a common factor between the numerator and the denominator is the simplest form of the equivalent fractions.

The numerator and denominator are divided by any common factors to find the simplest from of the fraction.

A fraction without a common factor between the numerator and the denominator is the simplest form of the equivalent fractions.

**Finding Simplest form of a fraction:** Given a fraction `p/q`, to find the simplest form of the fraction

find the highest common factor `i` such that `p = l xx i` and `q = m xx i`. Then the simplest form is `l/m`.'

*Solved Exercise Problem: *

What is the simplest form of `35/45`?

- `9/9`
- `7/9`
- `7/9`
- `5/5`
- `9/7`

The answer is '`7/9`'. The HCF of numerator and denominator is `5` which is canceled in both numerator and denominator. `35/45 = (7 xx 5)/(9 xx 5) = 7/9`

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