Multiply Fractions, Convert Mixed Numbers and Improper Fractions

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction, such as 2\frac{1}{3}.

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 \frac{5}{4}.

Front

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

Back

Multiply the whole number by the denominator, add the numerator, and place the result over the original denominator. For example, 2\frac{3}{4} becomes \frac{2 \times 4 + 3}{4} = \frac{11}{4}.

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. For example, \frac{9}{4} becomes 2\frac{1}{4}.

Front

What is the first step in multiplying fractions?

Back

Multiply the numerators together to get the new numerator.

Front

What is the second step in multiplying fractions?

Back

Multiply the denominators together to get the new denominator.

Front

What is the result of multiplying \frac{2}{3} by \frac{3}{4}?

Back

\frac{2 \times 3}{3 \times 4} = \frac{6}{12} = \frac{1}{2} after simplification.

Front

What does it mean to simplify a fraction?

Back

To simplify a fraction means to reduce it to its lowest terms, where the numerator and denominator have no common factors other than 1.

Front

What is the relationship between mixed numbers and improper fractions?

Back

Every mixed number can be converted to an improper fraction, and vice versa.

Front

What is the improper fraction equivalent of 1\frac{2}{5}?

Back

1\frac{2}{5} = \frac{1 \times 5 + 2}{5} = \frac{7}{5}.