Equivalent Fractions and Ratios

Front

What is an equivalent fraction?

Back

An equivalent fraction is a fraction that represents the same value as another fraction, even though the numbers may be different. For example, 1/2 is equivalent to 2/4.

Front

How do you find an equivalent fraction?

Back

To find an equivalent fraction, you can multiply or divide both the numerator and the denominator by the same number. For example, multiplying 1/3 by 2 gives you 2/6.

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other. For example, the ratio of 2 to 3 can be written as 2:3.

Front

How can you simplify a fraction?

Back

To simplify a fraction, divide both the numerator and the denominator by their greatest common factor (GCF). For example, to simplify 4/8, divide both by 4 to get 1/2.

Front

What is the greatest common factor (GCF)?

Back

The greatest common factor (GCF) is the largest number that divides two or more numbers without leaving a remainder. For example, the GCF of 8 and 12 is 4.

Front

What is the least common multiple (LCM)?

Back

The least common multiple (LCM) is the smallest multiple that two or more numbers share. For example, the LCM of 3 and 4 is 12.

Front

How do you convert a fraction to a decimal?

Back

To convert a fraction to a decimal, divide the numerator by the denominator. For example, 1/4 = 0.25.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction. For example, 2 1/2 is a mixed number.

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 over the original denominator. For example, 2 1/2 = (2*2 + 1)/2 = 5/2.

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.