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, with a numerator (top number) and a denominator (bottom number).

Front

How do you add fractions with different denominators?

Back

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

Front

What is the process for subtracting fractions?

Back

To subtract fractions, ensure they have a common denominator, convert them if necessary, 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 both the numerator and the denominator by their greatest common divisor (GCD).

Front

What is the least common denominator (LCD)?

Back

The least common denominator (LCD) is the smallest multiple that is common to the denominators of two or more fractions, used to add or subtract those fractions.

Front

How do you find the difference between two fractions?

Back

To find the difference between two fractions, convert them to a common denominator, subtract the numerators, and simplify the result if necessary.

Front

What is the sum of 1/4 and 1/2?

Back

The sum of 1/4 and 1/2 is 3/4. (Convert 1/2 to 2/4, then add: 1/4 + 2/4 = 3/4.)

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 the result over the original denominator.

Front

What is the process for multiplying fractions?

Back

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

Front

How do you divide fractions?

Back

To divide fractions, multiply the first fraction by the reciprocal of the second fraction (flip the second fraction and multiply).