Fresh features from the #1 AI-enhanced learning platform.Try it free
Fresh features from the #1 AI-enhanced learning platformCrush your year with the magic of personalized studying.Try it free
Question

Gina wants to ship three books that weigh 2716\frac{7}{16} pounds, 178\frac{7}{8} pounds and 12\frac{1}{2} pound. Which is the best estimate for the total weight of the three books?
(A) 3123 \frac{1}{2} pounds (B) 4 pounds (C) 5 pounds (D) 6 pounds

Solution

Verified
Step 1
1 of 2

First, those weights in pounds we need to be fractions, so, we have the following:

2716=3916178=158\begin{align*} 2\dfrac{7}{16}&=\dfrac{39}{16}\\ 1\dfrac{7}{8}&=\dfrac{15}{8} \end{align*}

Because now we have fractions 3916,158\dfrac{39}{16}, \dfrac{15}{8} and 12\dfrac{1}{2}, we have to add them in order to find their sum and the best estimate for the total weight of those three books.

3916+158+12=39+152+1816=7716=41316\begin{align*} \dfrac{39}{16}+\dfrac{15}{8}+\dfrac{1}{2}&=\dfrac{39+15\cdot2+1\cdot8}{16}\\ &=\dfrac{77}{16}\\ &=4\dfrac{13}{16} \end{align*}

So, $\textbf{conclusion is the best estimate is 55 pounds.}$

Create an account to view solutions

Create an account to view solutions

Recommended textbook solutions

Texas Go Math!: Grade 6 1st Edition by Holt McDougal

Texas Go Math!: Grade 6

1st EditionISBN: 9780544051676Holt McDougal
2,755 solutions
Go Math: Middle School, Grade 7 1st Edition by Holt McDougal

Go Math: Middle School, Grade 7

1st EditionISBN: 9780544056756Holt McDougal
3,175 solutions
Saxon Math, Course 2 1st Edition by Hake, Stephen

Saxon Math, Course 2

1st EditionISBN: 9781591418351Hake, Stephen
4,848 solutions
Saxon Math, Course 3 1st Edition by Hake

Saxon Math, Course 3

1st EditionISBN: 9781591418849 (1 more)Hake
4,042 solutions

More related questions

1/4

1/7