Multiplying Fractions and Mixed Numbers

Front

What is a fraction?

Back

A fraction represents a part of a whole and consists of a numerator (top number) and a denominator (bottom number).

Front

How do you multiply two fractions?

Back

To multiply two fractions, multiply the numerators together and the denominators together. For example, (a/b) × (c/d) = (a×c)/(b×d).

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction, such as 2 1/2.

Front

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

Back

Multiply the whole number by the denominator and add the numerator. Place this result over the original denominator. For example, 2 1/2 = (2×2 + 1)/2 = 5/2.

Front

What is the result of multiplying a whole number by a fraction?

Back

To multiply a whole number by a fraction, convert the whole number to a fraction (by placing it over 1) and then multiply the fractions. For example, 5 × 2/3 = (5/1) × (2/3) = 10/3.

Front

What is the product of ⅚ and ⅕?

Back

The product of ⅚ and ⅕ is ⅙.

Front

How do you simplify a fraction?

Back

To simplify a fraction, divide the numerator and the denominator by their greatest common divisor (GCD).

Front

What is the result of 2 3/4 × 12?

Back

The result of 2 3/4 × 12 is 33.

Front

What is the product of 1/5 and 5/6?

Back

The product of 1/5 and 5/6 is 1/6.

Front

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

Back

Divide the numerator by the denominator. The quotient is the whole number, and the remainder is the new numerator over the original denominator.