Fractions

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction, such as 3 4/9.

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 that over the original denominator. For example, 3 4/9 becomes (3*9 + 4)/9 = 31/9.

Front

What are equivalent fractions?

Back

Equivalent fractions are different fractions that represent the same value, such as 4/9 and 12/27.

Front

How do you find an equivalent fraction with a different denominator?

Back

To find an equivalent fraction, multiply the numerator and denominator of the original fraction by the same number. For example, to find an equivalent fraction for 4/9 with a denominator of 27, multiply both by 3 to get 12/27.

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 36/4.

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, 36/4 = 9.

Front

How do you compare fractions?

Back

To compare fractions, you can find a common denominator or convert them to decimals. For example, 1/8 is less than 8/8.

Front

What does it mean to reduce a fraction?

Back

Reducing a fraction means simplifying it to its lowest terms by dividing the numerator and denominator by their greatest common factor.

Front

What is the greatest common factor (GCF)?

Back

The GCF is the largest number that divides two or more numbers without leaving a remainder. For example, the GCF of 36 and 44 is 4.

Front

What is a denominator?

Back

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