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# Add and subtract fractions: FAQ

Frequently asked questions about adding and subtracting fractions.

## What does it mean to decompose a fraction?

When we decompose a fraction, we break it down into smaller parts. This can help us understand the fraction better or make it easier to work with.

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## What are mixed numbers and improper fractions?

A mixed number is a combination of a whole number and a fraction. For example, $2{\displaystyle \frac{1}{2}}$ . An improper fraction is a fraction where the numerator is larger than the denominator. For example, $\frac{5}{2}$ .

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## How do we add and subtract fractions with common denominators?

When we add fractions with common denominators, we keep the denominator the same and add the numerators together. For example, $\frac{1}{4}}+{\displaystyle \frac{2}{4}}={\displaystyle \frac{3}{4}$ .

When we subtract fractions with common denominators, we keep the denominator the same and subtract the numerators. For example, $\frac{3}{4}}-{\displaystyle \frac{2}{4}}={\displaystyle \frac{1}{4}$ .

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## What are equivalent fractions?

Equivalent fractions are two or more fractions that have the same value. For example, $\frac{1}{2}$ , $\frac{2}{4}$ , and $\frac{4}{8}$ are all equivalent fractions.

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## What is a line plot?

A line plot is a graph that shows how many times each data point occurs. It's a good way to organize and analyze data.

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