Adding Fractions

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

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, then add the numerators. For example, 1/3 + 1/4 = 4/12 + 3/12 = 7/12.

Front

What is a common denominator?

Back

A common denominator is a shared multiple of the denominators of two or more fractions, used to add or subtract them.

Front

What does it mean to simplify a fraction?

Back

Simplifying a fraction means reducing it to its lowest terms, where the numerator and denominator have no common factors other than 1.

Front

What is the sum of 1/2 and 1/3?

Back

The sum of 1/2 and 1/3 is 5/6. (1/2 = 3/6, 1/3 = 2/6; 3/6 + 2/6 = 5/6).

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 1/4 = (2*4 + 1)/4 = 9/4.

Front

What is the sum of 2/5 and 1/10?

Back

The sum of 2/5 and 1/10 is 5/10 or 1/2. (2/5 = 4/10; 4/10 + 1/10 = 5/10).

Front

What is the result of adding 3/8 and 1/4?

Back

The result of adding 3/8 and 1/4 is 5/8. (1/4 = 2/8; 3/8 + 2/8 = 5/8).

Front

How do you find the total when adding mixed numbers?

Back

To find the total when adding mixed numbers, add the whole numbers together and the fractions together separately, then combine them.