Adding & Subtracting Fractions & Mixed Numbers

Front

What is a fraction?

Back

A fraction represents a part of a whole and is written as 'a/b', where 'a' is the numerator (part) and 'b' is the denominator (whole).

Front

What does it mean to add fractions with the same denominator?

Back

When adding fractions with the same denominator, you 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, 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 2 1/3.

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 1/3 = (2*3 + 1)/3 = 7/3.

Front

What is the process of subtracting fractions with the same denominator?

Back

When subtracting 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, find a common denominator, convert the fractions, then subtract the numerators. For example, 5/6 - 1/3 = 5/6 - 2/6 = 3/6 = 1/2.

Front

What does it mean to decompose a fraction?

Back

Decomposing a fraction means breaking it down into smaller fractions that add up to the original fraction. For example, 3/4 can be decomposed into 1/4 + 1/4 + 1/4.

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 find the least common denominator of 1/4 and 1/6?

Back

The least common denominator of 1/4 and 1/6 is 12, as it is the smallest multiple of both 4 and 6.