We are asked to do the following multiplication and write the result in simplest form.
2/3* 1/6
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!
The product written in simplest form is 19. Now we can fill in the blanks in the exercise.
2/3* 1/6 = 1/9
Checking Our Answer
We can check our answer by finding the product using a calculator. However, most calculators will give the product as a decimal number. Because our answer is a fraction, 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.
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!
