Recall that dividingfractions is the same as multiplying the first fraction by the reciprocal of the second fraction.
3/4Ă·5/6=3/4*6/5When 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 can simplify the quotient 1820 because 18 and 20 have a common factor. This factor is 2. Let's simplify the quotient 1820 by dividing both the numerator and the denominator by 2.
There are no more common factors between the numerator and the denominator. Also, since the denominator is greater than the numerator, we cannot write the quotient as a mixed number. This means that the answer is in the simplest possible form.
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.
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!
