Adding and Subtracting Fractions

Front

What is the process for adding fractions with different denominators?

Back

To add fractions with different denominators, first find a common denominator, convert each fraction to an equivalent fraction with that denominator, then add the numerators and keep the common denominator.

Front

How do you subtract fractions with different denominators?

Back

To subtract fractions with different denominators, find a common denominator, convert each fraction to an equivalent fraction with that denominator, then subtract the numerators and keep the common denominator.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction, such as 2 1/3.

Front

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

Back

To convert an improper fraction to a mixed number, divide the numerator by the denominator. The quotient is the whole number, and the remainder over the original denominator is the fraction.

Front

What is the least common denominator (LCD)?

Back

The least common denominator (LCD) is the smallest multiple that two or more denominators share, used to add or subtract fractions.

Front

What is the first step in reducing a fraction?

Back

The first step in reducing a fraction is to find the greatest common divisor (GCD) of the numerator and denominator.

Front

How do you find the GCD of two numbers?

Back

To find the GCD of two numbers, list the factors of each number and identify the largest factor they have in common.

Front

What is the result of adding 7/10 and 2/5?

Back

The result of adding 7/10 and 2/5 is 1 1/10.

Front

What is the result of subtracting 3/4 from 2/3?

Back

The result of subtracting 3/4 from 2/3 is 1/12.

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 sum over the original denominator.