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.

Tags

CCSS.5.NBT.A.2

Front

How do you multiply two rational numbers?

Back

To multiply two rational numbers, multiply their numerators together and their denominators together. For example, (a/b) * (c/d) = (a*c)/(b*d).

Tags

CCSS.7.NS.A.2A

Front

What is the rule for dividing rational numbers?

Back

To divide by a rational number, multiply by its reciprocal. For example, (a/b) ÷ (c/d) = (a/b) * (d/c).

Tags

CCSS.7.NS.A.2C

Front

What is the result of -1/2 ÷ 1/4?

Back

-1/2 ÷ 1/4 = -1/2 * 4/1 = -2.

Tags

CCSS.7.NS.A.2B

Front

If you have 3/5 of a pizza and you want to share it equally among 3 friends, how much pizza does each friend get?

Back

Each friend gets (3/5) ÷ 3 = (3/5) * (1/3) = 1/5 of a pizza.

Tags

CCSS.6.NS.A.1

Front

What is the product of -3/4 and 2/3?

Back

The product is (-3/4) * (2/3) = -6/12 = -1/2.

Tags

CCSS.7.NS.A.2A

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 over the original denominator. For example, 2 1/3 = (2*3 + 1)/3 = 7/3.

Front

What is 1/2 of 3/4?

Back

1/2 of 3/4 is (1/2) * (3/4) = 3/8.

Tags

CCSS.4.NF.B.4A

CCSS.4.NF.B.4B

Front

If a plant grows 1/4 cm every day for 21 days, how much does it grow in total?

Back

Total growth = 1/4 cm/day * 21 days = 21/4 cm = 5 1/4 cm.

Tags

CCSS.7.NS.A.3

Front

What is the result of -0.6 ÷ 3/4?

Back

-0.6 ÷ 3/4 = -0.6 * 4/3 = -0.8.

Tags

CCSS.7.NS.A.2B