Rewrite the expression so that all of the numbers are fractions. Remember that dividing fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. Rewrite your answer as mixed number.
Recall that dividing fractions is the same as multiplying the first fraction by the reciprocal of the second fraction.
33/8 Ă· 9/4=33/8 * 4/9
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 find the given product!
We need to find the answer in simplest possible form. Note that 132 and 72 have a common factor which is 12. Let's divide both the numerator and the denominator by 12.
There are no more common factors between the numerator and the denominator. We can also write this fraction as a mixed number because the numerator is greater than the denominator.
Let's check our answer using a calculator. Because our answer is a mixed number, we need to compare the quotient of the original numbers 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 numbers using the calculator. Remember to use parentheses around each of the mixed numbers 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!
