Multiplying and Dividing Fractions and 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

How do you multiply fractions?

Back

To multiply fractions, multiply the numerators together and the denominators together. For example, (a/b) * (c/d) = (a*c)/(b*d).

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 a mixed number to an improper fraction?

Back

Multiply the whole number by the denominator, add the numerator, and place that over the original denominator. For example, 2 1/2 = (2*2 + 1)/2 = 5/2.

Front

How do you divide fractions?

Back

To divide fractions, multiply by the reciprocal of the second fraction. For example, (a/b) ÷ (c/d) = (a/b) * (d/c).

Front

What is the reciprocal of a fraction?

Back

The reciprocal of a fraction is obtained by flipping the numerator and denominator. For example, the reciprocal of 3/4 is 4/3.

Front

How do you add fractions with different denominators?

Back

Find a common denominator, convert the fractions, and then add the numerators. For example, 1/4 + 1/3 = (3/12) + (4/12) = 7/12.

Front

What is a common denominator?

Back

A common denominator is a shared multiple of the denominators of two or more fractions, used to add or subtract them.

Front

How do you subtract fractions?

Back

To subtract fractions, find a common denominator, convert the fractions, and then subtract the numerators. For example, 3/4 - 1/4 = 2/4 = 1/2.

Front

What is the area of a rectangle?

Back

The area of a rectangle is calculated by multiplying its length by its width. For example, if length = 3/4 and width = 2/3, area = (3/4)*(2/3) = 1/2.