Multiply a fraction by a whole number

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What is the process for multiplying a fraction by a whole number?

Back

To multiply a fraction by a whole number, multiply the numerator of the fraction by the whole number and keep the denominator the same. For example, to multiply 4/5 by 20, calculate (4 x 20)/5 = 80/5 = 16.

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How do you convert a mixed number to an improper fraction?

Back

To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place that result over the original denominator. For example, 2 1/2 becomes (2*2 + 1)/2 = 5/2.

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What is the result of multiplying 5 by 1/8?

Back

The result of multiplying 5 by 1/8 is 5/8.

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How do you simplify a fraction?

Back

To simplify a fraction, divide both the numerator and the denominator by their greatest common divisor (GCD). For example, to simplify 4/8, divide both by 4 to get 1/2.

Front

What is the relationship between fractions and division?

Back

Multiplying by a fraction is equivalent to dividing by its reciprocal. For example, multiplying by 1/2 is the same as dividing by 2.

Front

How do you find a fraction of a whole number?

Back

To find a fraction of a whole number, multiply the whole number by the numerator of the fraction and then divide by the denominator. For example, to find 3/5 of 20, calculate (3 x 20)/5 = 12.

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What is a real-world application of multiplying fractions?

Back

A real-world application of multiplying fractions includes scenarios like cooking, where you need to adjust recipes based on serving sizes, or calculating distances in a project.

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How do you handle word problems involving fractions?

Back

To handle word problems involving fractions, identify the quantities involved, determine the operations needed (addition, subtraction, multiplication, or division), and set up the equation accordingly.

Front

What is the importance of simplifying fractions in calculations?

Back

Simplifying fractions makes calculations easier and helps in understanding the size of the fraction in relation to whole numbers.

Front

How do you convert an improper fraction to a mixed number?

Back

To convert an improper fraction to a mixed number, divide the numerator by the denominator. The quotient is the whole number, and the remainder is the new numerator over the original denominator.