# Arithmetic/Multiplying Fractions

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## Multiplying fractions[edit]

To multiply two fractions:

**multiply the numerators**to get the new**numerator**, and**multiply the denominators**to get the new**denominator**.

For instance,

- .

## Dividing fractions[edit]

To divide one fraction by another one, flip numerator and denominator of the second one, and then multiply the two fractions. The flipped-over fraction is called the multiplicative inverse or **reciprocal**.

For instance,

- .

To simplify a compound fraction, like , just remember that a fraction is the same as division, and divide (3/5) ÷ (1/4), which comes to 12/5.