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 (the number of parts) and 'b' is the denominator (the total number of equal parts).

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, 1/5 + 2/5 = (1+2)/5 = 3/5.

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 sum of 3/8 and 1/4?

Back

First, convert 1/4 to 2/8. Then, add: 3/8 + 2/8 = 5/8.

Front

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

Back

First, find a common denominator (6). Convert 2/3 to 4/6. Then, add: 4/6 + 1/6 = 5/6.

Front

What is the sum of 2 3/4 and 3/8?

Back

Convert 2 3/4 to an improper fraction: 11/4. Find a common denominator (8). Convert: 11/4 = 22/8. Then, add: 22/8 + 3/8 = 25/8 or 3 1/8.

Front

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

Back

Find a common denominator (15). Convert: 1/3 = 5/15 and 2/5 = 6/15. Then, add: 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 dividing the numerator and denominator by their greatest common factor.

Front

What is an improper fraction?

Back

An improper fraction is a fraction where the numerator is greater than or equal to the denominator, such as 5/4.