5/3 Adding fractions with unlike denominators

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 unlike denominators?

Back

It means to add fractions that have different bottom numbers (denominators), requiring a common denominator to be found first.

Front

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

Back

The least common denominator (LCD) of 3 and 2 is 6. Convert both fractions: 1/3 = 2/6 and 1/2 = 3/6.

Front

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

Back

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

Front

How do you add 1/3 and 2/10?

Back

Find the LCD of 3 and 10, which is 30. Convert: 1/3 = 10/30 and 2/10 = 6/30. Then add: 10/30 + 6/30 = 16/30, which simplifies to 8/15.

Front

What is the sum of 3/10 and 2/3?

Back

3/10 + 2/3 = 29/30.

Front

How do you add 1/5 and 2/4?

Back

Find the LCD of 5 and 4, which is 20. Convert: 1/5 = 4/20 and 2/4 = 10/20. Then add: 4/20 + 10/20 = 14/20, which simplifies to 7/10.

Front

What is the sum of 6/10 and 2/3?

Back

6/10 + 2/3 = 1 and 4/15.

Front

What is the first step in adding fractions with unlike denominators?

Back

The first step is to find the least common denominator (LCD) for the fractions.

Front

What is the least common denominator (LCD)?

Back

The least common denominator (LCD) is the smallest number that can be evenly divided by all the denominators in the fractions.