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, convert if necessary, and then subtract the numerators.

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 method for dividing fractions?

Back

To divide fractions, multiply by the reciprocal of the divisor (the second fraction).

Front

What does it mean to simplify a fraction?

Back

Simplifying a fraction means reducing it to its lowest terms, where the numerator and denominator have no common factors other than 1.

Front

What is a common denominator?

Back

A common denominator is a shared multiple of the denominators of two or more fractions, used to perform addition or subtraction.

Front

What is the lowest terms of a fraction?

Back

A fraction is in lowest terms when the numerator and denominator are coprime, meaning they have no common factors other than 1.

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 sum of 1/4 and 1/3 in lowest terms?

Back

The sum of 1/4 and 1/3 is 7/12.