Exercise 11 Page 97

Recall that dividing fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. 8/9÷3/10=8/9*10/3When 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 find the given product!

Note that 80 and 27 do not have common factors so the quotient is 8027. We can also write this fraction as a mixed number.

Checking Our Answer

Let's check our answer using a calculator. Because our answer is a mixed number, 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. Note that each mixed number can be written as the sum of an integer and a fraction.

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.

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