# Word Problem Involving Fractions and Division Online Quiz

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Q 1 - Jane picked berries weighing $\frac{4}{5}$ of a pound. She put them evenly in three containers. How many pounds of berries did Jane put in each container?

### Explanation

Step 1:

Weight of berries =$\frac{4}{5}$ pound

Number of containers = 3

Step 2:

Weight of berries in one container =$\frac{4}{5}$ ÷ 3 = $\frac{4}{5}$ ÷ $\frac{3}{1}$

=$\frac{4}{5}$ × $\frac{1}{3}$ = $\frac{4}{15}$ pound

Q 2 - Clara made a soap weighing $\frac{6}{7}$ pound. She divided the soap into 4 equal pieces. How much did each piece of soap weigh?

### Explanation

Step 1:

Weight of soap =$\frac{6}{7}$ pound

Number of pieces = 4

Step 2:

Weight of each piece of soap =$\frac{6}{7}$ ÷ 4 =$\frac{6}{7}$ ÷ $\frac{4}{1}$

=$\frac{6}{7}$ × $\frac{1}{4}$ =$\frac{3}{14}$ pound

Q 3 - A scientist divided $\frac{1}{2}$ of an ounce of liquid protein evenly among 4 cell samples. How much liquid protein did she put in each cell sample?

### Explanation

Step 1:

Weight of liquid protein =$\frac{1}{2}$ pound

Number of cell samples = 4

Step 2:

Liquid protein in each sample =$\frac{1}{2}$ ÷ 4 = $\frac{1}{2}$ ÷ $\frac{4}{1}$

=$\frac{1}{2}$ ÷ $\frac{1}{4}$ =$\frac{1}{2}$ × $\frac{1}{4}$ =$\frac{1}{8}$ pound

Q 4 - Wilson's Café uses 5 bags of coffee every day. For how many days will $\frac{1}{4}$ of a bag of coffee last?

### Explanation

Step 1:

Number of bags used in a day = 5

Number of bags used =$\frac{1}{4}$

Step 2:

The time the bag will last =$\frac{1}{4}$ ÷ 5 =$\frac{1}{4}$ ÷ $\frac{5}{1}$

=$\frac{1}{4}$ × $\frac{1}{5}$ =$\frac{1}{20}$ of a day

Q 5 - In a cookery class, the instructor divided $\frac{1}{3}$ of ounce of salt evenly among 3 servings of a dish. How much salt did she put in each serving?

### Explanation

Step 1:

Weight of salt =$\frac{1}{3}$ ounces

Number of servings = 3

Step 2:

Weight of salt per serving =$\frac{1}{3}$ ÷ 3 =$\frac{1}{3}$ ÷$\frac{3}{1}$

=$\frac{1}{3}$ × $\frac{1}{3}$ =$\frac{1}{9}$ ounce

Q 6 - Mary made fancy costume decorations for each of 4 dancers. She cut $\frac{4}{7}$ of a yard of lace into equal pieces to make the decorations. How long was each piece of lace?

### Explanation

Step 1:

Length of the lace =$\frac{4}{7}$ yard

Number of dancers = 4

Step 2:

Length of lace for each dancer =$\frac{4}{7}$ ÷ 4 =$\frac{4}{7}$ ÷ $\frac{4}{1}$

=$\frac{4}{7}$ × $\frac{1}{4}$ =$\frac{1}{7}$ yard

Q 7 - A carpenter used $\frac{9}{10}$ can of paint to paint 6 chairs using the same amount of paint for each chair. How many cans of paint was used for each chair?

### Explanation

Step 1:

Paint used =$\frac{9}{10}$ can

Number of chairs = 6

Step 2:

Paint used per chair =$\frac{9}{10}$ ÷ 6 =$\frac{9}{10}$ ÷ $\frac{6}{1}$

=$\frac{9}{10}$ × $\frac{1}{6}$ =$\frac{3}{20}$ can

Q 8 - A doctor divided $\frac{5}{7}$ bottle of medicine equally among 10 patients. How much medicine did the doctor give to each of his patients?

### Explanation

Step 1:

Quantity of medicine used =$\frac{5}{7}$ bottle

Number of patients = 10

Step 2:

Medicine per patient =$\frac{5}{7}$ ÷ 10 =$\frac{5}{7}$ ÷ $\frac{10}{1}$

=$\frac{5}{7}$ × $\frac{1}{10}$ =$\frac{1}{14}$ bottle

Q 9 - A bakery uses $\frac{1}{8}$ bag of flour for each batch of cookies they make. The bakery used $\frac{3}{4}$ bag of flour yesterday. How many batches of cookies did the bakery make?

### Explanation

Step 1:

Number of bags for each batch = $\frac{1}{8}$

Number of bags used =$\frac{3}{4}$

Step 2:

Number of batches of cookies prepared

=$\frac{3}{4}$ ÷ $\frac{1}{8}$

=$\frac{3}{4}$ × $\frac{8}{1}$ = $\frac{3}{1}$ × $\frac{2}{1}$

= $\frac{(3×2)}{(1×1)}$ = $\frac{6}{1}$ = 6 batches

Q 10 - Rainbow school bought $\frac{5}{6}$ gallon blue paint and divided it equally among 5 classrooms. How much blue paint did each classroom get?

### Explanation

Step 1:

Paint used = $\frac{5}{6}$ gallons

Number of classrooms = 5

Step 2:

Paint used per classroom = $\frac{5}{6}$ ÷ 5 = $\frac{5}{6}$ ÷ $\frac{5}{1}$

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

= $\frac{(1×1)}{(1×6)}$ = $\frac{1}{6}$ = $\frac{1}{6}$ gallon

word_problem_involving_fractions_and_division.htm
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