Operations with Fractions

Front

What is a fraction?

Back

A fraction represents a part of a whole and is expressed as a ratio of two integers, where the top number is the numerator and the bottom number is the denominator.

Front

How do you add fractions with different denominators?

Back

To add fractions with different denominators, find a common denominator, convert each fraction to an equivalent fraction with that denominator, and then add the numerators.

Front

What is the least common multiple (LCM)?

Back

The least common multiple (LCM) of two or more numbers is the smallest multiple that is evenly divisible by all the numbers.

Front

How do you subtract fractions?

Back

To subtract fractions, ensure they have a common denominator, convert them if necessary, and then subtract the numerators while keeping the denominator the same.

Front

What is a mixed number?

Back

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

Front

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

Back

To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place that sum over the original denominator.

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 multiply fractions?

Back

To multiply fractions, multiply the numerators together and the denominators together. Simplify if possible.

Front

What is the process for dividing fractions?

Back

To divide fractions, multiply by the reciprocal of the divisor. For example, to divide 1/2 by 3/4, you multiply 1/2 by 4/3.

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.