Multiplying Fractions and Whole Numbers

Front

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 3/4 by 5, calculate (3*5)/4 = 15/4.

Front

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 1/3 becomes (2*3 + 1)/3 = 7/3.

Front

What is the result of multiplying two fractions?

Back

To multiply two fractions, multiply the numerators together and the denominators together. For example, (2/3) * (4/5) = (2*4)/(3*5) = 8/15.

Front

What is a proper fraction?

Back

A proper fraction is a fraction where the numerator is less than the denominator, such as 3/4.

Front

What is an improper fraction?

Back

An improper fraction is a fraction where the numerator is greater than or equal to the denominator, such as 5/4.

Front

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 8/12, divide both by 4 to get 2/3.

Front

What is the product of a whole number and a fraction?

Back

The product of a whole number and a fraction is found by multiplying the whole number by the numerator of the fraction and placing the result over the denominator. For example, 4 * 2/5 = (4*2)/5 = 8/5.

Front

What does it mean to quadruple a quantity?

Back

To quadruple a quantity means to multiply it by 4. For example, quadrupling 2/5 results in (2/5)*4 = 8/5.

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. For example, 9/4 becomes 2 1/4.

Front

What is the relationship between multiplication and division of fractions?

Back

Multiplication of fractions involves multiplying the numerators and denominators, while division of fractions involves multiplying by the reciprocal of the divisor. For example, to divide 1/2 by 3/4, multiply 1/2 by 4/3.