Question

fraction word problems
solve each problem.

1. adam stacked 7 pieces of wood on top of one another. if each piece was $\frac{10}{12}$ of a foot tall, how tall was his pile?
2. robin bought a couple packages of gum at the gas station and ate $\frac{3}{4}$ of a package each week. how much would she have eaten after 7 weeks?
3. rachel needed $\frac{1}{2}$ of a cup of water for 1 flower. if she had 3 flowers how many cups would she need?
4. carol was packing up some of her old stuff into a box. a box can hold 2 pounds, but she only filled it up $\frac{1}{4}$ full. how much weight was in the box?
5. oliver lived 3 miles from his school. if he rode his bike $\frac{7}{10}$ of the distance and then walked the rest, how far did he ride his bike?
6. each day a company used $\frac{2}{5}$ of a box of paper. how many boxes would they have used after 4 days?
7. when lanas 3ds is fully charged it lasts for 4 hours. if she only charged it $\frac{2}{3}$ full, how long would it last?
8. amy made spicy and regular chili for the chili cook - off. she made enough spicy to fill up $\frac{6}{8}$ of a pot. if she made 4 times as much regular, how many pots of regular did she have?
9. a restaurant used 5 pounds of potatoes during a lunch rush. if they used $\frac{1}{6}$ as much beef, how many pounds of beef did they use?
10. a pitcher could hold $\frac{2}{6}$ of a gallon of water. if paul filled up 8 pitchers, how much water would he have?
11. frank ran 7 miles on his first day of training. the next day he ran $\frac{3}{5}$ that distance. how far did he run the second day?
12. a group of 6 friends each received $\frac{2}{3}$ of a pound of candy. how much candy did they receive total?

Explanation:

Step1: Multiply pieces by height

$7 \times \frac{10}{12} = \frac{70}{12} = \frac{35}{6} = 5\frac{5}{6}$

Step2: Multiply weekly amount by weeks

$7 \times \frac{3}{4} = \frac{21}{4} = 5\frac{1}{4}$

Step3: Multiply flowers by water per flower

$3 \times \frac{1}{2} = \frac{3}{2} = 1\frac{1}{2}$

Step4: Multiply box limit by fill fraction

$2 \times \frac{1}{4} = \frac{2}{4} = \frac{1}{2}$

Step5: Multiply total distance by bike fraction

$3 \times \frac{7}{10} = \frac{21}{10} = 2\frac{1}{10}$

Step6: Multiply daily use by days

$4 \times \frac{2}{5} = \frac{8}{5} = 1\frac{3}{5}$

Step7: Multiply full charge time by fraction

$4 \times \frac{2}{3} = \frac{8}{3} = 2\frac{2}{3}$

Step8: Multiply spicy amount by 4

$4 \times \frac{6}{8} = \frac{24}{8} = 3$

Step9: Multiply potato weight by beef fraction

$5 \times \frac{1}{6} = \frac{5}{6}$

Step10: Multiply pitchers by capacity

$8 \times \frac{2}{6} = \frac{16}{6} = \frac{8}{3} = 2\frac{2}{3}$

Step11: Multiply first day distance by fraction

$7 \times \frac{3}{5} = \frac{21}{5} = 4\frac{1}{5}$

Step12: Multiply friends by candy per friend

$6 \times \frac{2}{3} = \frac{12}{3} = 4$

Answer:

1. $5\frac{5}{6}$ feet
2. $5\frac{1}{4}$ packages
3. $1\frac{1}{2}$ cups
4. $\frac{1}{2}$ pounds
5. $2\frac{1}{10}$ miles
6. $1\frac{3}{5}$ boxes
7. $2\frac{2}{3}$ hours
8. 3 pots
9. $\frac{5}{6}$ pounds
10. $2\frac{2}{3}$ gallons
11. $4\frac{1}{5}$ miles
12. 4 pounds