# What is 1 4 plus 1 8

## Shortening and expanding fractions

bettermarks »Math book» Numbers »Fractional calculation» Fundamentals of fraction calculation »Shortening and expanding fractions

Here you will find the most important information about shortening and expanding.

### Shorten with the greatest common factor

To reduce as much as possible, you need to find the greatest common factor (GCF) of the numerator and denominator of a fraction. The GCF is the largest number that you can use to reduce a fraction.

Short as possible:

### Expand to the main denominator

The main denominator is the lowest common denominator created by expanding two or more unlike fractions. Before creating the main denominator, shorten the fractions as much as possible.

The main denominator is the least common multiple (lcm) of the denominator.

Expand and to their main denominator.

Expand and to their main denominator.

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