Chapter 3, Problem 66SGR

To determine

To calculate:To find how many cups of flour does Monica need altogether

Answer to Problem 66SGR

  $6\frac{1}{12}$ cups of flour is needed altogether

Explanation of Solution

Given information:Monica needs $2\frac{3}{4}$ cups of flour for a batch of cookies and $3\frac{1}{3}$ cups of flour for a dozen muffins

Calculation:

Given

Flour needed for a batch of cookies $=2\frac{3}{4}$ cups

Flour needed for a dozen muffins $=3\frac{1}{3}$ cups

Cups of flour needed altogether is calculated as

  $\begin{array}{l}Total=2\frac{3}{4}+3\frac{1}{3}\\ Total=\frac{11}{4}+\frac{10}{3}\end{array}$

Now, in order to add two fractions, the denominator must be same.

  $\begin{array}{l}Total=\frac{11\times 3}{4\times 3}+\frac{10\times 4}{3\times 4}\\ Total=\frac{33}{12}+\frac{40}{12}\\ Total=\frac{33+40}{12}\\ Total=\frac{73}{12}\\ Total=6\frac{1}{12}cups\end{array}$

Hence, $6\frac{1}{12}$ cups of flour is needed altogether