Multiplying and Dividing 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 (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) x (c/d) = (a*c)/(b*d).

Front

What does it mean to divide by a fraction?

Back

Dividing by a fraction is the same as multiplying by its reciprocal. For example, 9 ÷ (1/2) = 9 x (2/1) = 18.

Front

What is the reciprocal of a fraction?

Back

The reciprocal of a fraction 'a/b' is 'b/a'. It is obtained by flipping the numerator and denominator.

Front

How do you simplify a fraction?

Back

To simplify a fraction, divide the numerator and the denominator by their greatest common divisor (GCD).

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 is a whole number combined with a proper fraction, such as 1 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.

Front

What is the least common denominator (LCD)?

Back

The least common denominator is the smallest multiple that two or more denominators share, used to add or subtract fractions.

Front

How do you add fractions with different denominators?

Back

To add fractions with different denominators, first find the least common denominator (LCD), convert the fractions, and then add the numerators.