Converting Mixed Numbers to 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}{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 \frac{9}{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{1}{4} becomes \frac{(2 \times 4) + 1}{4} = \frac{9}{4}.

Front

Convert the mixed number 3 \frac{2}{5} to an improper fraction.

Back

\frac{(3 \times 5) + 2}{5} = \frac{17}{5}.

Front

What is the denominator in a fraction?

Back

The denominator is the bottom number in a fraction that indicates how many equal parts the whole is divided into.

Front

What is the numerator in a fraction?

Back

The numerator is the top number in a fraction that indicates how many parts are being considered.

Front

What happens to the denominator when converting between mixed numbers and improper fractions?

Back

The denominator remains the same.

Front

Convert the improper fraction \frac{11}{4} to a mixed number.

Back

11 divided by 4 equals 2 with a remainder of 3, so it becomes 2 \frac{3}{4}.

Front

What is the first step in converting a mixed number to an improper fraction?

Back

Multiply the whole number by the denominator.

Front

What is the first step in converting an improper fraction to a mixed number?

Back

Divide the numerator by the denominator.