Rational Number Operations

Front

What is a rational number?

Back

A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

Front

How do you find the least common denominator (LCD) of two fractions?

Back

To find the LCD, determine the least common multiple (LCM) of the denominators of the fractions.

Front

What is the process to subtract fractions with different denominators?

Back

1. Find the least common denominator (LCD). 2. Convert each fraction to an equivalent fraction with the LCD. 3. Subtract the numerators and keep the denominator the same.

Front

What is the mixed number representation of an improper fraction?

Back

An improper fraction can be converted to a mixed number by dividing the numerator by the denominator.

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 quotient of two fractions?

Back

To find the quotient of two fractions, multiply the first fraction by the reciprocal of 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

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

Back

Multiply the whole number by the denominator, add the numerator, and place that result over the original denominator.

Front

What is the sum of 1/3 and 1/4?

Back

The sum is 7/12, found by using the least common denominator (12) to add the fractions.

Front

What is the difference between 4/5 and 1/20?

Back

The difference is 15/20, which can be simplified to 3/4.