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 fractions?

Back

The first step is to determine if the fractions have like or unlike denominators.

Front

What is the sum of 3/5 and 1/10?

Back

To add 3/5 and 1/10, convert 3/5 to 6/10. Then, 6/10 + 1/10 = 7/10.

Front

What is the sum of 2/12 and 2/6?

Back

To add 2/12 and 2/6, convert 2/6 to 4/12. Then, 2/12 + 4/12 = 6/12, which simplifies to 1/2.

Front

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

Back

To add 1/3 and 2/5, find a common denominator (15). Convert: 1/3 = 5/15 and 2/5 = 6/15. Then, 5/15 + 6/15 = 11/15.

Front

What is the importance of simplifying fractions?

Back

Simplifying fractions makes them easier to understand and work with. It involves reducing the fraction to its simplest form.

Front

What does it mean to simplify a fraction?

Back

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