Dividing 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

How do you divide a fraction by a whole number?

Back

To divide a fraction by a whole number, multiply the denominator of the fraction by the whole number. For example, 1/2 ÷ 2 = 1/(2*2) = 1/4.

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 a fraction by another fraction?

Back

To divide a fraction by another fraction, multiply the first fraction by the reciprocal of the second fraction. For example, 1/2 ÷ 1/3 = 1/2 * 3/1 = 3/2.

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 simplify a fraction?

Back

To simplify a fraction, divide the numerator and the denominator by their greatest common divisor (GCD). For example, 4/8 simplifies to 1/2.

Front

What does it mean to find a common denominator?

Back

Finding a common denominator means finding a number that is a multiple of the denominators of two or more fractions, allowing them to be added or subtracted.

Front

How do you add fractions with different denominators?

Back

To add fractions with different denominators, first find a common denominator, convert the fractions, and then add the numerators.

Front

What is the process to subtract fractions?

Back

To subtract fractions, ensure they have a common denominator, then subtract the numerators and keep the common denominator.