Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

The Parent-Teacher Association made $13\frac{5}{6}$ gallons of fruit punch for Parents' Night. Parents and teachers drank only $7\frac{1}{6}$ gallons altogether that night. How many gallons of fruit punch did the Parent-Teacher Association have left? $\newline$ Write your answer as a fraction or as a whole or mixed number. $\newline$ _____ gallons

View step-by-step help

View step-by-step help

Add and subtract mixed numbers: word problems

Full solution

Q. The Parent-Teacher Association made

13\frac{5}{6}

gallons of fruit punch for Parents' Night. Parents and teachers drank only

7\frac{1}{6}

gallons altogether that night. How many gallons of fruit punch did the Parent-Teacher Association have left?

\newline

Write your answer as a fraction or as a whole or mixed number.

\newline

_____ gallons

Identify Total Amounts: Step $1$ : Identify the total amount of fruit punch made and the amount consumed. $\newline$ Total made: $13\frac{5}{6}$ gallons $\newline$ Total consumed: $7\frac{1}{6}$ gallons $\newline$ We need to subtract the amount consumed from the total made to find out how much is left.
Convert to Improper Fractions: Step $2$ : Convert mixed numbers to improper fractions for easier calculation. $\newline$ $13 \frac{5}{6} = (13\times6 + 5)/6 = \frac{83}{6}$ $\newline$ $7 \frac{1}{6} = (7\times6 + 1)/6 = \frac{43}{6}$ $\newline$ Now, subtract the two fractions.
Perform Subtraction: Step $3$ : Perform the subtraction. $\newline$ $\frac{83}{6} - \frac{43}{6} = \frac{83 - 43}{6} = \frac{40}{6}$ $\newline$ Simplify $\frac{40}{6}$ to its lowest terms. $\newline$ $\frac{40}{6} = \frac{20}{3}$ $\newline$ Convert $\frac{20}{3}$ back to a mixed number: $20 \div 3 = 6$ remainder $2$ , so it's $6 \frac{2}{3}$ gallons.

More problems from Add and subtract mixed numbers: word problems

Question

2x+2=4

Posted 8 months ago

Question

5+5

Posted 3 months ago

Question

50+160+2365+36

Posted 8 months ago

Question

5 \times 2+12+6

Posted 6 months ago

Question

At the Oak Grove Zoo's bug exhibit, Danny watches a millipede crawl for

5\frac{7}{10}

minutes, stay still for a while, and then crawl for

1\frac{1}{10}

minutes more. How much total time did Danny spend watching the millipede crawl?

\newline

Write your answer as a fraction or as a whole or mixed number.

\newline

\_\_\_\_

Posted 7 months ago

Question

Today Raymond is carrying his history textbook and his lunch in his backpack. If the history textbook weighs

1\frac{1}{5}

pounds and his lunch weighs

2\frac{2}{5}

pounds, how much weight is in Raymond's backpack?

\newline

Write your answer as a fraction or as a whole or mixed number.

\newline

\_\_\_

Posted 7 months ago

Question

Hassan's Road Paving Company mixed

7\frac{7}{10}

tons of cement. They used

2\frac{9}{10}

tons of the cement to pave a street downtown. How much cement did they have left?

\newline

Write your answer as a fraction or as a whole or mixed number.

\newline

Posted 7 months ago

Question

Destiny mixed together

8\frac{1}{4}

cups of grapefruit juice and

5\frac{1}{4}

cups of lemon-lime soda to make punch. How many cups of punch did Destiny make?

\newline

Write your answer as a fraction or as a whole or mixed number.

\newline

\_\_\_

Posted 7 months ago

Question

Lee's drive to work is

15\frac{1}{6}

hours, whereas Duncan's is

11\frac{5}{6}

hours. How much longer is Lee's drive than Duncan's?

\newline

Write your answer as a fraction or as a whole or mixed number.

\newline

\_\_\_\_

Posted 7 months ago

Question

Rebecca and her sister went together to get haircuts. Rebecca got

4\frac{9}{10}

inches cut off and her sister got

3\frac{3}{10}

inches cut off. Compared to her sister, how much more hair did Rebecca get taken off?

\newline

Write your answer as a fraction or as a whole or mixed number.

\newline

\_\_\_

Posted 7 months ago

Related topics

Algebra - Order of Operations Algebra - Distributive Property `X` and `Y` Axes Geometry - Scalene Triangle Common Multiple Geometry - Quadrant