Adding 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

What does it mean to add fractions with like denominators?

Back

Adding fractions with like denominators means you keep the denominator the same and add the numerators together.

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 before adding the numerators.

Front

What is a common denominator?

Back

A common denominator is a shared multiple of the denominators of two or more fractions, allowing them to be added together.

Front

How do you find a common denominator for 1/3 and 2/5?

Back

The least common multiple of 3 and 5 is 15, so the common denominator is 15.

Front

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

Back

1/3 + 2/5 = 11/15 after finding a common denominator.

Front

How do you convert mixed numbers to improper fractions?

Back

Multiply the whole number by the denominator, add the numerator, and place the result over the original denominator.

Front

Convert 2 3/4 to an improper fraction.

Back

2 3/4 = (2*4 + 3)/4 = 11/4.

Front

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

Back

2 3/4 + 1 1/6 = 4 7/12 after converting to improper fractions and finding a common denominator.

Front

How do you add fractions with different denominators?

Back

Find a common denominator, convert the fractions, and then add the numerators.