Adding 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 positive rational numbers?

Back

To add two positive rational numbers, simply add their numerators and keep the same denominator.

Front

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

Back

1/4 + 1/4 = 2/4 = 1/2.

Front

How do you add a positive and a negative rational number?

Back

Subtract the absolute values and take the sign of the number with the larger absolute value.

Front

What is the sum of 3/5 and -1/5?

Back

3/5 + (-1/5) = 2/5.

Front

What is the first step in adding fractions with different denominators?

Back

Find a common denominator.

Front

What is the common denominator of 1/3 and 1/4?

Back

The common denominator of 1/3 and 1/4 is 12.

Front

How do you convert 1/3 and 1/4 to have a common denominator?

Back

1/3 = 4/12 and 1/4 = 3/12.

Front

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

Back

1/3 + 1/4 = 4/12 + 3/12 = 7/12.

Front

What is the final bank balance if you start with $50 and make transactions of +$100, -$30, +$25, and -$5?

Back

Final balance = $50 + $100 - $30 + $25 - $5 = $140.