Question

what is the friendliest kind of airplane? circle out the box containing each correct answer. when you finish, write the letters from the remaining boxes in the spaces at the bottom of the page. (1) bill made 5 gallons of fruit - punch. if $\frac{1}{4}$ of the punch was cranberry juice, how much cranberry juice did he use? (2) a high - speed computer printer prints a page in $\frac{1}{6}$ second. using this printer, how long would it take to print 30 pages? (3) a recipe for pancakes calls for 1 cup of pancake mix and $\frac{3}{4}$ cup of milk. how much milk is needed to make $\frac{1}{2}$ the recipe? (4) the students at mix middle school painted a mural 25 feet long. the height was $\frac{3}{10}$ of the length. how high was the mural? (5) the avocados own a $\frac{1}{4}$ - acre orchard. two fifths of the orchard is planted in orange trees. what fraction of an acre is planted in orange trees? (6) a bottle of root beer contains $\frac{4}{5}$ of a liter. how much root beer is in 3 bottles? (7) in mr. primes class, $\frac{9}{10}$ of the students had done their homework. of these, $\frac{2}{3}$ had all correct answers. what fraction of the whole class had all correct answers? (8) 14 - karat gold is $\frac{7}{12}$ pure gold and $\frac{5}{12}$ other metals. how much pure gold is in 4 ounces of 14 - karat gold? (9) a lemon pie was cut into 6 equal pieces. being on a diet, matilda ate only half a piece. what fraction of the whole pie did she eat? (10) rachel has a collection of 40 stuffed animals. of the animals, $\frac{3}{8}$ are bears and $\frac{1}{5}$ are dogs. the rest are other animals. how many other animals does she have? it $\frac{1}{10}$ ah $2\frac{1}{2}$ ot 17 el $\frac{1}{9}$ ad $7\frac{1}{2}$ in $1\frac{1}{4}$ lo 14 ve $\frac{1}{12}$ fl $\frac{3}{5}$ co $\frac{1}{2}$ me 5 yu $2\frac{1}{3}$ pt 10 op $\frac{3}{8}$ ov $2\frac{2}{5}$ er $8\frac{1}{5}$

Explanation:

Step1: Calculate cranberry - juice amount

Bill made 5 gallons of fruit - punch and $\frac{1}{4}$ of it was cranberry juice. Multiply the total amount of punch by the fraction of cranberry juice: $5\times\frac{1}{4}=\frac{5}{4} = 1\frac{1}{4}$ gallons.

Step2: Calculate printing time

A printer prints a page in $\frac{1}{6}$ second. To print 30 pages, multiply the time per page by the number of pages: $30\times\frac{1}{6}=5$ seconds.

Step3: Calculate milk amount for half - recipe

A pancake recipe calls for $\frac{3}{4}$ cup of milk. To make $\frac{1}{2}$ of the recipe, multiply the milk amount in the full recipe by $\frac{1}{2}$: $\frac{3}{4}\times\frac{1}{2}=\frac{3}{8}$ cup.

Step4: Calculate mural height

The mural is 25 feet long and the height is $\frac{3}{10}$ of the length. Multiply the length by the fraction for height: $25\times\frac{3}{10}=\frac{75}{10}=7.5$ feet.

Step5: Calculate orange - tree area

The orchard is $\frac{1}{4}$ acre and $\frac{2}{5}$ of it is planted in orange trees. Multiply the total area of the orchard by the fraction of orange - tree area: $\frac{1}{4}\times\frac{2}{5}=\frac{2}{20}=\frac{1}{10}$ acre.

Step6: Calculate root - beer amount

A bottle of root - beer contains $\frac{4}{5}$ of a liter. But the number of bottles is not given in the problem description. Assuming you want to know the amount in one bottle, it is $\frac{4}{5}$ liter.

Step7: Calculate students with all correct answers

In Mr. Prime's class, $\frac{9}{10}$ of the students did their homework and $\frac{2}{3}$ of those had all correct answers. Multiply the two fractions: $\frac{9}{10}\times\frac{2}{3}=\frac{18}{30}=\frac{3}{5}$ of the whole class.

Step8: Calculate pure gold amount

14 - karat gold is $\frac{7}{12}$ pure gold. For 4 ounces of 14 - karat gold, multiply the total amount of gold by the fraction of pure gold: $4\times\frac{7}{12}=\frac{28}{12}=\frac{7}{3}=2\frac{1}{3}$ ounces.

Step9: Calculate fraction of pie eaten

A lemon pie is cut into 6 equal pieces and Matilda ate half a piece. The fraction of the whole pie she ate is $\frac{1}{2}\div6=\frac{1}{2}\times\frac{1}{6}=\frac{1}{12}$.

Step10: Calculate other stuffed - animal amount

Rachel has 40 stuffed animals. $\frac{3}{8}$ are bears and $\frac{1}{5}$ are dogs. First, find the fraction of bears and dogs combined: $\frac{3}{8}+\frac{1}{5}=\frac{15 + 8}{40}=\frac{23}{40}$. Then the fraction of other animals is $1-\frac{23}{40}=\frac{17}{40}$. The number of other animals is $40\times\frac{17}{40}=17$.

Answer:

1. $1\frac{1}{4}$ gal
2. 5 s
3. $\frac{3}{8}$ c
4. 7.5 ft
5. $\frac{1}{10}$
6. $\frac{4}{5}$ (assuming one - bottle amount)
7. $\frac{3}{5}$
8. $2\frac{1}{3}$ oz
9. $\frac{1}{12}$
10. 17