Mixed and Improper Fractions Worksheets

If you're in search of well-structured worksheets to help reinforce the concept of mixed and improper fractions, you've come to the right place. Designed for elementary and middle school students, these worksheets offer a comprehensive set of exercises to strengthen understanding of fractions as entities and subjects of mathematical operations.

  Improper Fractions as Mixed Numbers Worksheet

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  Improper Fractions Worksheets

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  Adding Mixed Fractions with Like Denominators Worksheet

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  Improper Fractions Worksheets

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  Mixed Number Improper Fraction Diagrams

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  Convert Improper Fractions to Mixed Numbers

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  Subtracting Fractions with Unlike Denominators

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  Fractions and Mixed Numbers Worksheets

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  Mixed Numbers Improper Fractions Worksheets

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  Dividing Fractions by Whole Numbers Worksheet

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  Equivalent Fractions Number Line Worksheet

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  Improper Fractions and Mixed Numbers

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  Improper Fractions and Mixed Numbers

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What is a mixed fraction?

A mixed fraction is a combination of a whole number and a proper fraction. It is written with the whole number first, followed by a space, then the fraction. For example, 2 1/2 is a mixed fraction, representing 2 whole units and 1 half unit.

How can you convert a mixed fraction to an improper fraction?

To convert a mixed fraction to an improper fraction, you multiply the whole number by the denominator of the fraction, then add the numerator to it. This total becomes the new numerator of the improper fraction, while the denominator remains the same. For example, if you have the mixed fraction 2 1/4, it would convert to the improper fraction 9/4 because (2 * 4) + 1 = 9.

How can you convert an improper fraction to a mixed fraction?

To convert an improper fraction to a mixed fraction, divide the numerator by the denominator. The whole number part of the result becomes the whole number of the mixed fraction. The remainder becomes the new numerator, and the original denominator remains the same. This new numerator is placed over the original denominator to form the mixed fraction.

How do you add two mixed fractions?

To add two mixed fractions, first convert them to improper fractions by multiplying the whole number by the denominator and adding the result to the numerator. Then find a common denominator, add the numerators together, and simplify the result if possible. Finally, convert the improper fraction back to a mixed fraction if needed.

How do you subtract two mixed fractions?

To subtract two mixed fractions, first convert them to improper fractions by multiplying the whole number by the denominator and adding the numerator. Then, subtract the two fractions by finding a common denominator, subtracting the numerators, and simplifying the result if needed. Finally, convert the resulting fraction back to a mixed number if necessary.

How do you multiply a mixed fraction by a whole number?

To multiply a mixed fraction by a whole number, first convert the mixed fraction into an improper fraction by multiplying the whole number by the denominator and then adding the numerator. Then, multiply the improper fraction by the whole number. Finally, simplify the result.

How do you multiply two mixed fractions?

To multiply two mixed fractions, first convert the mixed fractions into improper fractions. Then, multiply the numerators together to get the new numerator, and multiply the denominators together to get the new denominator. Finally, simplify the resulting fraction if possible by reducing the fraction to its lowest terms.

How do you divide a mixed fraction by a whole number?

To divide a mixed fraction by a whole number, first convert the mixed fraction to an improper fraction. Multiply the whole number by the denominator of the fraction and add the numerator to get the new numerator. Then, keep the same denominator. Once you have the improper fraction, divide the numerator by the whole number. Remember to simplify the result if needed.

How do you divide two mixed fractions?

To divide two mixed fractions, first convert each mixed fraction into an improper fraction. Then, invert the second fraction (the one you are dividing by) and multiply the two fractions together. Finally, simplify the resulting fraction if necessary.

How do you simplify a mixed fraction?

To simplify a mixed fraction, first multiply the whole number by the denominator of the fraction, then add the numerator to the result. This will give you the new numerator. Keep the same denominator. Finally, simplify the resulting fraction by finding the greatest common divisor (GCD) of the numerator and denominator and dividing both by the GCD to get the simplified mixed fraction.