Adding and Subtracting Fractions

Front

What is a fraction?

Back

A fraction represents a part of a whole and consists of a numerator (top number) and a denominator (bottom number).

Front

How do you add fractions with the same denominator?

Back

To add fractions with the same denominator, keep the denominator the same and add the numerators. For example, 1/4 + 2/4 = (1+2)/4 = 3/4.

Front

How do you add fractions with different denominators?

Back

To add fractions with different denominators, first find a common denominator, convert the fractions, and then add the numerators. For example, 1/3 + 1/4 = 4/12 + 3/12 = 7/12.

Front

What is a mixed number?

Back

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

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 is the new numerator over the original denominator.

Front

What is the Least Common Denominator (LCD)?

Back

The Least Common Denominator is the smallest number that can be used as a common denominator for two or more fractions.

Front

How do you subtract fractions with the same denominator?

Back

To subtract fractions with the same denominator, keep the denominator the same and subtract the numerators. For example, 3/5 - 1/5 = (3-1)/5 = 2/5.

Front

How do you subtract fractions with different denominators?

Back

To subtract fractions with different denominators, first find a common denominator, convert the fractions, and then subtract the numerators.

Front

What is the process to find the common denominator for 1/5 and 2/10?

Back

The common denominator for 1/5 and 2/10 is 10, as it is the smallest multiple of both denominators.

Front

What is the sum of 5/8 and 3/4?

Back

To add 5/8 and 3/4, convert 3/4 to 6/8. Then, 5/8 + 6/8 = 11/8 or 1 3/8.