Adding and Subtracting 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 add two rational numbers with different denominators?

Back

To add two rational numbers with different denominators, find a common denominator, convert each fraction, and then add the numerators.

Front

What is the result of adding a positive and a negative rational number?

Back

The result depends on the absolute values of the numbers; if the positive number is larger, the result is positive, and if the negative number is larger, the result is negative.

Front

What is the result of subtracting a negative rational number from a positive rational number?

Back

Subtracting a negative number is the same as adding its positive counterpart.

Front

Solve: 2.75 - (-1.25)

Back

4

Front

Solve: -6.23 - 7.5

Back

-13.73

Front

Solve: 4/9 + (-2/3)

Back

-2/9

Front

Solve: -3/7 + 4/5

Back

13/35

Front

What is the first step in subtracting rational numbers?

Back

The first step is to change the subtraction to addition by adding the opposite of the second number.

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 the result over the original denominator.