# Fractions

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## Converting to Improper Fractions

To convert mixed numbers to improper fractions, multiply the whole number by the denominator, then add the numerator, and write the answer over the original denominator.

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## Converting to Mixed Numbers

To convert improper fractions to mixed numbers, divide the numerator by the denominator. The answer becomes the whole number, and the remainder becomes the numerator of the fraction part of your answer. The denominator remains the same.

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## Ordering Fractions with the same denominator

Convert everything to improper fractions and order by the numerator.

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## Simplifying Fractions

Divide the numerator and denominator by the same number. Keep doing this until it is no longer possible.

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## Equivalent Fractions

To find an equivalent fraction, multiply the numerator and denominator by the same number.

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## Ordering Fractions with different denominator

To put fractions in order, convert all fractions to equivalent fractions with the same denominator, then put them in order.

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## Adding Fractions with a common denominator

If fractions have the same denominator, to add these fractions, add the numerators but not the denominators.

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## Subtracting Fractions with a common denominator

If fractions, have the same denominator, to subtract these fractions, subtract the numerators but not the denominator.

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## Adding Fractions with different denominators

To add fractions with different denominators, you must first convert them to fractions that have the same denominator, then add the numerators.

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## Subtracting Fractions with different denominators

To subtract fractions with different denominators, you must first convert them to fractions that have the same denominator, then subtract the numerators.

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## Finding a Fraction of an amount

To find a fraction of an amount, divide the amount by the denominator, then multiply it by the denominator.

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## Multiplying Fractions

To multiply fractions, multiply the numerators, and multiply the denominators.

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## Dividing Fractions

To divide fractions, keep the first fraction as it is, change the division to a multiplication, then flip the second fraction upside down.

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