Exercise 33 Page 128

We are asked to do the following division. 2/5÷ 3/4Recall that dividing fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. 2/5÷ 3/4=2/5* 4/3 When we multiply fractions, we need to remember that the product of two fractions is equal to the product of the numerators divided by the product of the denominators. Let's multiply the fractions using this information!

The quotient is equal to 815.

Checking Our Answer

We can check our answer by finding the quotient using a calculator. However, most calculators will give the quotient as a decimal number. Because our answer is a fraction, we need to compare the quotient of the original fractions to the decimal that is equivalent to the final quotient that we found. First, let's find the decimal form of our quotient.

File:Solution272126 1.svg

Now we will find the quotient of the fractions using the calculator. Remember to use parentheses around each of the fractions so that the order of operations is performed correctly! Calculators cannot read our minds, unfortunately.

File:Solution272126 2.svg

Because the calculator found the same decimal for both calculations, we know that our answer was correct!