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

What does it mean to add fractions with like denominators?

Back

When adding fractions with like denominators, you keep the denominator the same and add the numerators. For example, 1/4 + 2/4 = (1+2)/4 = 3/4.

Front

What does it mean to add fractions with unlike denominators?

Back

To add fractions with unlike denominators, you must first find a common denominator, convert the fractions, and then add the numerators.

Front

How do you find a common denominator?

Back

To find a common denominator, identify the least common multiple (LCM) of the denominators of the fractions you want to add.

Front

What is the first step in adding 1/3 and 2/5?

Back

The first step is to find a common denominator for 1/3 and 2/5, which is 15.

Front

What is the sum of 1/3 and 2/5?

Back

1/3 + 2/5 = 5/15 + 6/15 = 11/15.

Front

How do you simplify a fraction?

Back

To simplify a fraction, divide the numerator and the denominator by their greatest common factor (GCF).

Front

What is the GCF of 8 and 12?

Back

The GCF of 8 and 12 is 4.

Front

What is 2/12 + 2/6?

Back

2/12 + 2/6 = 2/12 + 4/12 = 6/12 = 1/2 after simplification.

Front

What is the sum of mixed numbers 2 3/4 and 1 1/6?

Back

2 3/4 + 1 1/6 = 11/4 + 7/6 = 66/24 + 28/24 = 94/24 = 3 22/24 = 3 7/12 after simplification.