Math Problem Statement

How much sugar is in one batch of cookies? (Hint: Drake needs two kinds of sugar.)

Solution

To determine how much sugar is used in one batch of Nutty Chipper Cookies, we need to sum the amounts of the two types of sugar: granulated white sugar and brown sugar.

From the image, we can see:

  • Granulated white sugar: 13\frac{1}{3} cup
  • Brown sugar: 34\frac{3}{4} cup

Step 1: Find a common denominator

The denominators for the fractions are 3 and 4. The least common denominator is 12.

  • Convert 13\frac{1}{3} to twelfths: 13=412\frac{1}{3} = \frac{4}{12}
  • Convert 34\frac{3}{4} to twelfths: 34=912\frac{3}{4} = \frac{9}{12}

Step 2: Add the fractions

412+912=1312\frac{4}{12} + \frac{9}{12} = \frac{13}{12}

This is equal to: 1112cups of sugar in total.1 \frac{1}{12} \, \text{cups of sugar in total}.

Thus, one batch of Nutty Chipper Cookies contains 11121 \frac{1}{12} cups of sugar.

Would you like further clarification or details? Here are some related questions:

  1. How do you convert fractions to have a common denominator?
  2. How can you simplify improper fractions?
  3. What is the least common denominator, and why is it useful?
  4. How can you convert improper fractions into mixed numbers?
  5. Why is it important to measure ingredients precisely when baking?

Tip: When adding fractions, always ensure the denominators are the same before performing the addition.

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Math Problem Analysis

Mathematical Concepts

Fraction addition
Least Common Denominator
Mixed Numbers

Formulas

a/b + c/d = (a*d + b*c) / (b*d)

Theorems

Addition of fractions with unlike denominators
Least Common Denominator

Suitable Grade Level

Grades 5-6