Operations with Rational Numbers

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 subtract fractions with different denominators?

Back

To subtract fractions with different denominators, first find a common denominator, convert the fractions, and then subtract the numerators.

Front

What is the process to divide fractions?

Back

To divide fractions, multiply the first fraction by the reciprocal of the second fraction.

Front

What is the reciprocal of a fraction?

Back

The reciprocal of a fraction is obtained by flipping the numerator and denominator.

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 -3/4 and 1/2?

Back

-3/4 + 1/2 = -1/4.

Front

What is the difference between 9/14 and 3/7?

Back

9/14 - 3/7 = 3/14.

Front

How do you find the average of a set of numbers?

Back

To find the average, sum all the numbers and divide by the count of numbers.

Front

What is the result of 3/4 ÷ 3/8?

Back

3/4 ÷ 3/8 = 2.

Front

How do you share a quantity equally among a group?

Back

To share a quantity equally, divide the total amount by the number of people.