Diana's chocolate cookie recipe calls for 3 ¹/₂ cups of sugar.
How much sugar would Diana use to make ¹/₆ of a batch of cookies?

Question

Diana's chocolate cookie recipe calls for 3 ¹/₂ cups of sugar. How much sugar would Diana use to make ¹/₆ of a batch of cookies?

Quizplus · Accepted Answer

We can solve this problem by multiplying the total cups of sugar required for the recipe (3 ¹/₂) and the fraction of the batch of cookies that she plans to make (¹/₆). Step 1: Convert 3 ¹/₂ to an improper fraction to make multiplication easier. Use the rule a ^b/_c = ^{(ac + b)}/_c to convert a mixed number to an improper fraction. In words, you multiply the denominator (bottom number) by the whole number and then add the numerator. Put that number over the denominator to create the improper fraction. 11ec0fda_98cc_367f_a67f_9fe4d73c86ae_NR0004_00 Step 2: Simplify. 3 x 2 + 1 = 7. 11ec0fda_98cc_3680_a67f_2ddaff44c827_NR0004_00 Step 3: Use this rule: ^a/_b × ^c/_d = ^ac/_bdto multiply fractions. 11ec0fda_98cc_3681_a67f_49e74ce2e2a2_NR0004_00 Step 4: Simplify. 7 x 1 = 7 and 2 x 6 = 12. 11ec0fda_98cc_3682_a67f_6b39a67d6aa1_NR0004_00

Diana's Chocolate Cookie Recipe Calls for 3 1/2 Cups of Sugar

Diana's Chocolate Cookie Recipe Calls for 3 ¹/₂ Cups of Sugar