Math 7 - Multiplying and Dividing 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 fractions?

Back

To multiply two fractions, multiply the numerators together and the denominators together. For example, ⅚ x ½ = (5*1)/(6*2) = 5/12.

Front

What is the product of a positive and a negative rational number?

Back

The product of a positive and a negative rational number is always negative.

Front

How do you divide two fractions?

Back

To divide two fractions, multiply the first fraction by the reciprocal of the second fraction. For example, ⅚ ÷ ½ = ⅚ x 2/1 = 10/6 = 5/3.

Front

What is the result of multiplying a fraction by a whole number?

Back

To multiply a fraction by a whole number, multiply the numerator by the whole number and keep the denominator the same. For example, ⅚ x 3 = 15/6 = 2 1/2.

Front

What is the result of dividing a whole number by a fraction?

Back

To divide a whole number by a fraction, multiply the whole number by the reciprocal of the fraction. For example, 5 ÷ ⅖ = 5 x 2/5 = 10.

Front

What is the sum of two negative rational numbers?

Back

The sum of two negative rational numbers is always negative.

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 and add the numerator. For example, 2 1/3 = (2*3 + 1)/3 = 7/3.

Front

What is the reciprocal of a fraction?

Back

The reciprocal of a fraction is obtained by swapping its numerator and denominator. For example, the reciprocal of ⅚ is 6/5.

Front

How do you simplify a fraction?

Back

To simplify a fraction, divide the numerator and the denominator by their greatest common divisor (GCD). For example, 8/12 can be simplified to 2/3.