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Q:

# How do you simplify improper fractions?

A:

Improper fractions are those in which the numerator (top number) is larger than the denominator (bottom number). According to Math is Fun, improper fractions are better for use in mathematical formulae, but mixed fractions are better for understanding and spoken language. When dealing with formulae or math operations, wait until you have made all the other manipulations before converting a fraction to a mixed number for your final answer.

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1. ### Divide the numerator by the denominator

Remember that the line between the numerator and denominator is a division symbol. Use division to find the quotient and the remainder. Then use the quotient as the whole number in the mixed number.

2. ### Write the remainder as a fraction

Use the remainder as the new numerator in the fraction of the mixed number. Use the divisor from the division problem as the denominator. It should be the same as the original denominator.

3. ### Simplify the fraction

If the numerator and denominator have common factors, you should simplify before submitting as a final answer. Divide both the numerator and denominator by the greatest common factor in order to reduce them to the smallest possible whole numbers. When simplifying the fraction in the mixed number, don't divide the whole number. Use it and the reduced fraction as the final answer.

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## Related Questions

• A:

Any fraction with a one as the numerator and a number equal to or greater than three as the denominator will be less than 1/2. As a general rule, if the denominator is more than twice as large as the numerator, the fraction will be smaller than 1/2. For example, 2/9 is less than 1/2.

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• A:

A unit fraction is a fraction where the top number, known as the numerator, is one, and the bottom number, known as the denominator, is any positive number. Additionally, the denominator must be an integer, or round number.

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One method to manually convert a fraction to a decimal is to multiply the denominator, the bottom number, by a number that will make the denominator a factor of 10. Then multiply the numerator, the top number, by the same number used on the denominator. Rewrite the fraction as a decimal using place values.