Emily will be able to bake 3 full batches of 20 cupcakes. We need to divide 3 1/4 by 2/3 to get our answer. To make the math easier, let's first convert 3 1/4 into an improper fraction, and then find the least common denominator for both fractions.
3 1/4 = 13/4 To find an improper fraction, multiply the whole number by the denominator and add the numerator. In this example, we multiply 3 x 4 and add 1 to get 13.
39/12 The least common denominator of the two fractions is 12. Multiply 8/12 each numerator by the same number you multiplied to get the denominator. In this example, we multiplied 4 by 3 to get 12 in the first fraction, so we multiply 13 by 3 to get 39. For the second fraction, we multiplied 3 by 4 to get 12, so we multiply 2 by 4 to get 8.
(39/12) / (8/12) = 4.875 To make the math easier, just divide 39 by 8. You can use a calculator for this part if you need to.
Emily can bake 4 batches. Even though the answer was 4.875, the question asked for the number of whole batches she can make, so we take the number in the ones place to get 4.
