Fraction Operations

Front

What is the reciprocal of a number?

Back

The reciprocal of a number is 1 divided by that number. For example, the reciprocal of 2 is 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 result over the original denominator.

Front

What is an improper fraction?

Back

An improper fraction is a fraction where the numerator is greater than or equal to the denominator.

Front

When adding fractions, do you always need a common denominator?

Back

Yes, when adding fractions, you need a common denominator unless you are adding whole numbers or mixed numbers.

Front

What is a common denominator?

Back

A common denominator is a shared multiple of the denominators of two or more fractions.

Front

How do you multiply fractions?

Back

To multiply fractions, multiply the numerators together and the denominators together.

Front

What is the product of 2/3 and 3/4?

Back

The product of 2/3 and 3/4 is (2*3)/(3*4) = 6/12, which simplifies to 1/2.

Front

What is the quotient of two fractions?

Back

The quotient of two fractions is found by multiplying the first fraction by the reciprocal of the second fraction.

Front

How do you simplify a fraction?

Back

To simplify a fraction, divide the numerator and the denominator by their greatest common divisor (GCD).

Front

What is the greatest common divisor (GCD)?

Back

The greatest common divisor (GCD) is the largest number that divides both the numerator and the denominator without leaving a remainder.