Adding & Subtracting Fractions & Mixed Numbers

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 the same denominator?

Back

When adding fractions with the same denominator, you add the numerators and keep the denominator the same. For example, 1/4 + 2/4 = (1+2)/4 = 3/4.

Front

What does it mean to subtract fractions with the same denominator?

Back

When subtracting fractions with the same denominator, you subtract the numerators and keep the denominator the same. For example, 3/5 - 1/5 = (3-1)/5 = 2/5.

Front

How do you add fractions with different denominators?

Back

To add fractions with different denominators, first find a common denominator, convert the fractions, then add the numerators. For example, 1/3 + 1/4 = 4/12 + 3/12 = 7/12.

Front

How do you subtract fractions with different denominators?

Back

To subtract fractions with different denominators, find a common denominator, convert the fractions, then subtract the numerators. For example, 2/3 - 1/4 = 8/12 - 3/12 = 5/12.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a fraction, such as 2 1/2.

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 first step in subtracting mixed numbers?

Back

The first step is to convert the mixed numbers to improper fractions.

Front

How do you add mixed numbers?

Back

To add mixed numbers, first convert them to improper fractions, then add the fractions, and convert back to a mixed number if necessary.

Front

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

Back

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