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 p/q of two integers, where p is the numerator, q is the denominator, and q is not zero.

Front

How do you add two rational numbers with the same denominator?

Back

To add two rational numbers with the same denominator, you add the numerators together and keep the denominator the same. For example, (a/b) + (c/b) = (a+c)/b.

Front

How do you add two rational numbers with different denominators?

Back

To add two rational numbers with different denominators, you first find a common denominator, convert each fraction to an equivalent fraction with that denominator, and then add the numerators.

Front

What is the process for subtracting rational numbers?

Back

To subtract rational numbers, you can convert the subtraction into addition by adding the opposite. For example, a/b - c/d = a/b + (-c/d).

Front

What is the value of (-8.6) + 7.2?

Back

The value of (-8.6) + 7.2 is -1.4.

Front

What is the value of 3.1 + (-6.3)?

Back

The value of 3.1 + (-6.3) is -3.2.

Front

How do you subtract a negative rational number?

Back

Subtracting a negative rational number is the same as adding its positive counterpart. For example, a - (-b) = a + b.

Front

What is the value of -1/3 - 4/5?

Back

The value of -1/3 - 4/5 is -17/15.

Front

What is the value of 2/3 + (-1/3)?

Back

The value of 2/3 + (-1/3) is 1/3.

Front

What is the value of -1/3 - (-5/12)?

Back

The value of -1/3 - (-5/12) is 1/12.