add, subtract, multiply and divide fractions

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 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.

Front

What is a mixed number?

Back

A mixed number combines a whole number and a proper fraction, like 2 1/2.

Front

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

Back

Multiply the whole number by the denominator, add the numerator, and place the result over the original denominator. For example, 5 3/4 = (5*4 + 3)/4 = 23/4.

Front

What is a proper fraction?

Back

A proper fraction is a fraction where the numerator is less than the denominator, such as 3/4.

Front

How do you add fractions with different denominators?

Back

Find a common denominator, convert the fractions, and then add the numerators.

Front

What is the first step in subtracting fractions?

Back

Ensure both fractions have a common denominator before subtracting the numerators.

Front

How do you multiply fractions?

Back

Multiply the numerators together and the denominators together. For example, (2/3) * (3/4) = (2*3)/(3*4) = 6/12.

Front

How do you divide fractions?

Back

Multiply by the reciprocal of the second fraction. For example, (2/3) ÷ (3/4) = (2/3) * (4/3) = 8/9.

Front

What is the sum of 3 1/4 and 2 3/8?

Back

Convert to improper fractions: 3 1/4 = 13/4 and 2 3/8 = 19/8. Find a common denominator (8): 13/4 = 26/8. Then add: 26/8 + 19/8 = 45/8 = 5 5/8.