Back to Exercise: Make a line plot to display a data set of measurements in fractions of a unit

Exercises: Line Plots with Fractional Measurements

Work through each section in order. When a line plot is shown, each X above a value represents one measurement at that value.

Grade 5·21 problems·~26 min·Common Core Math - Grade 5·standard·5-md-b-2
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A

Warm-Up: Review What You Know

These problems review skills you have already learned.

1.

Which of these fractions is equivalent to 12\frac{1}{2}?

2.

Compute 38+38\frac{3}{8} + \frac{3}{8}. Express your answer as a fraction in simplest form.

3.

A line plot shows how many pets 5 students have: 0, 1, 1, 2, 3. How many students have more than 1 pet?

B

Fluency Practice

1.

A data set includes the measurements 12\frac{1}{2}, 14\frac{1}{4}, and 38\frac{3}{8} of a cup. Which scale should the number line use so every value has an exact place?

2.

An eighths number line from 0 to 1 is labeled in order: 0, 18\frac{1}{8},   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   , 38\frac{3}{8},   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   , 58\frac{5}{8},   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   , 78\frac{7}{8}, 1. What are the three missing labels, in order?

label after 1/8:
label after 3/8:
label after 5/8:
3.

A line plot shows the lengths of 6 ribbons, measured to the nearest 14\frac{1}{4} inch: three ribbons at 12\frac{1}{2} inch, two ribbons at 34\frac{3}{4} inch, and one ribbon at 14\frac{1}{4} inch. How many ribbons measured more than 14\frac{1}{4} inch?

4.

On a line plot, three objects each measured 38\frac{3}{8} inch. What is the combined length of these three objects? Express your answer as a fraction or mixed number, in inches.

5.

On a line plot, the longest measurement was 78\frac{7}{8} inch and the shortest was 14\frac{1}{4} inch. What is the difference between the longest and shortest measurements?

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