Operations on 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 numerator is the part and the denominator is the whole.

Front

How do you add fractions with different denominators?

Back

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

Front

What is the process for subtracting fractions?

Back

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

Front

What does it mean to simplify a fraction?

Back

Simplifying a fraction means reducing it to its lowest terms by dividing the numerator and denominator by their greatest common divisor (GCD).

Front

How do you multiply fractions?

Back

To multiply fractions, multiply the numerators together and the denominators together. Then simplify if necessary.

Front

What is the rule for dividing fractions?

Back

To divide fractions, multiply by the reciprocal of the divisor. That is, flip the second fraction and multiply.

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 multiple (LCM)?

Back

The least common multiple (LCM) of two or more numbers is the smallest number that is a multiple of each of the numbers.

Front

What is the greatest common divisor (GCD)?

Back

The greatest common divisor (GCD) of two or more numbers is the largest number that divides each of the numbers without leaving a remainder.