Multiply and Divide 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 multiply two negative rational numbers?

Back

When you multiply two negative rational numbers, the result is a positive rational number.

Front

What is the result of multiplying -1/4 and -4/3?

Back

1/3

Front

What is the rule for dividing rational numbers?

Back

To divide rational numbers, multiply the first number by the reciprocal of the second number.

Front

What is the reciprocal of ⅖?

Back

The reciprocal of ⅖ is 5/2.

Front

How do you simplify the fraction ⁶/₉?

Back

To simplify ⁶/₉, divide both the numerator and the denominator by their greatest common divisor, which is 3. The simplified fraction is ²/₃.

Front

What is the result of -⅘ × -⅙?

Back

2/15

Front

What is the result of dividing -⁶/₇ by ⁴/₅?

Back

To divide -⁶/₇ by ⁴/₅, multiply -⁶/₇ by the reciprocal of ⁴/₅, which is ⁵/₄. The result is -⁶/₇ × ⁵/₄ = -30/28, which simplifies to -15/14.

Front

What is the product of ⅔ and -⅔?

Back

The product of ⅔ and -⅔ is -2/9.

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 that result over the original denominator.