Adding and Subtracting Fractions

Front

What is the process for adding fractions with different denominators?

Back

To add fractions with different denominators, first find a common denominator, convert each fraction to an equivalent fraction with that denominator, then add the numerators and keep the common denominator.

Front

How do you subtract fractions with the same denominator?

Back

To subtract fractions with the same denominator, simply subtract the numerators and keep the denominator the same.

Front

What is a mixed number and how can it be converted to an improper fraction?

Back

A mixed number consists of a whole number and a proper fraction. To convert it to an improper fraction, multiply the whole number by the denominator, add the numerator, and place that sum over the original denominator.

Front

What is the least common denominator (LCD) and why is it important?

Back

The least common denominator (LCD) is the smallest multiple that two or more denominators share. It is important because it allows us to add or subtract fractions by providing a common base.

Front

What is the first step in adding or subtracting fractions?

Back

The first step is to determine if the fractions have the same denominator. If they do, you can proceed to add or subtract the numerators. If not, find a common denominator.

Front

How do you simplify a fraction?

Back

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

Front

What is the result of adding 1/4 and 1/2?

Back

1/4 + 1/2 = 1/4 + 2/4 = 3/4.

Front

What is the result of subtracting 3/5 from 4/5?

Back

4/5 - 3/5 = 1/5.

Front

How do you convert an improper fraction to a mixed number?

Back

To convert an improper fraction to a mixed number, divide the numerator by the denominator. The quotient is the whole number, and the remainder is the new numerator over the original denominator.

Front

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

Back

2/3 + 1/6 = 4/6 + 1/6 = 5/6.