Show Fractional Data on a Line Plot and Solve Problems by Using Line Plots : CCSS.Math.Content.4.MD.B.4

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4th Grade Math › Show Fractional Data on a Line Plot and Solve Problems by Using Line Plots : CCSS.Math.Content.4.MD.B.4

Questions 1 - 10

The line chart shows how many hours each student in a class spends reading each week. How many hours, on average, do the least number of students spend reading each week?

Readinghours

$1\frac{1}{4}$

$1\frac{1}{2}$

$1\frac{3}{4}$

Explanation

There is only x mark above $1\frac{1}{4}$ , which is the least in our data set.

Use the line plot to answer the question.

Two students read $1\frac{1}{2}$ hours, hours, and $2\frac{3}{4}$ hours. What are all of these times added together?

$6\frac{1}{4}$

$5\frac{3}{4}$

Explanation

When we add mixed numbers we add the whole numbers to the whole numbers and the fractions to the fractions.

$\frac{1}{2}+\frac{3}{4}$ in order to add fractions we need to make common denominators.

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

$\frac{2}{4}-\frac{3}{4}=\frac{5}{4}$

$\frac{5}{4}=1\frac{1}{4}$

$5+1\frac{1}{4}=6\frac{1}{4}$

Use the line plot to answer the question.

Four students spend hours reading and one student spends $1\frac{1}{4}$ hours reading. What is the difference in time spent reading?

$2\frac{1}{4}$

$2\frac{2}{4}$

$2\frac{3}{4}$

$1\frac{1}{4}$

$1\frac{2}{4}$

Explanation

When we subtract mixed numbers we subtract the whole numbers by the whole numbers and the fractions by the fractions.

$\frac{1}{4}-0=\frac{1}{4}$

Use the line plot to answer the question.

How many hours do most students spend reading?

$2\frac{1}{2}$

$1\frac{1}{4}$

Explanation

There are x marks above $2\frac{1}{2}$ , which is the most marks above our data set numbers.

Use the line plot to answer the question.

One student spends $1\frac{1}{4}$ hours reading and three students spend $2\frac{1}{4}$ hours reading. What is the difference in time spent reading?

$1\frac{1}{2}$

$3\frac{2}{4}$

$1\frac{1}{4}$

Explanation

When we subtract mixed numbers we subtract the whole numbers by the whole numbers and the fractions by the fractions.

$\frac{1}{4}-\frac{1}{4}=0$

Use the line plot to answer the question.

Three students spend $2\frac{1}{4}$ hours reading and five students spend $2\frac{1}{2}$ hours reading. What is the difference in time spent reading?

$\frac{1}{4}$

$\frac{2}{4}$

$\frac{3}{4}$

$1\frac{1}{4}$

$1\frac{2}{4}$

Explanation

When we subtract mixed numbers we subtract the whole numbers by the whole numbers and the fractions by the fractions.

$\frac{1}{2}-\frac{1}{4}$ in order to subtract fractions we need to make common denominators.

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

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

Use the line plot to answer the question.

Two students spend $2\frac{3}{4}$ hours reading and three students spend $2\frac{1}{4}$ hours reading. What is the difference in time spent reading?

$\frac{2}{4}$

$\frac{1}{4}$

$3\frac{1}{4}$

$2\frac{1}{4}$

$1\frac{1}{4}$

Explanation

When we subtract mixed numbers we subtract the whole numbers by the whole numbers and the fractions by the fractions.

$\frac{3}{4}-\frac{1}{4}=\frac{2}{4}$

Use the line plot to answer the question.

Two students spend $1\frac{1}{2}$ hours reading and four students spend $1\frac{3}{4}$ hours reading. What is the difference in time spent reading?

$\frac{1}{4}$

$\frac{1}{2}$

$\frac{1}{3}$

$1\frac{1}{3}$

$1\frac{3}{4}$

Explanation

When we subtract mixed numbers we subtract the whole numbers by the whole numbers and the fractions by the fractions.

$\frac{3}{4}-\frac{1}{2}$ in order to subtract fractions we need to make common denominators.

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

$\frac{3}{4}-\frac{2}{4}=\frac{1}{4}$

Use the line plot to answer the question.

Two students spend $2\frac{3}{4}$ hours reading and one student spens $1\frac{1}{4}$ hours reading. What is the difference in time spent reading?

$1\frac{2}{4}$

$1\frac{1}{4}$

$2\frac{2}{4}$

$1\frac{3}{4}$

Explanation

When we subtract mixed numbers we subtract the whole numbers by the whole numbers and the fractions by the fractions.

$\frac{3}{4}-\frac{1}{4}=\frac{2}{4}$

Use the line plot to answer the question.

Two students spend $1\frac{1}{2}$ hours reading and three students spend $2\frac{3}{4}$ hours reading. What is the difference in time spent reading?

$1\frac{1}{4}$

$\frac{1}{4}$

$1\frac{2}{4}$

$1\frac{3}{4}$

Explanation

When we subtract mixed numbers we subtract the whole numbers by the whole numbers and the fractions by the fractions.

$\frac{3}{4}-\frac{1}{2}$ in order to subtract fractions we need to make common denominators.

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

$\frac{3}{4}-\frac{2}{4}=\frac{1}{4}$

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