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 368 and 30 have a common factor which is 2. Let's divide both the numerator and the denominator by 2.
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 product of the original fractions to the decimal that is equivalent to the final product that we found. First, let's find the decimal form of our product. Note that each mixed number can be written as the sum of an integer and a fraction.
Now we will find the product 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!
