---
title: "Line plots with fractions of a unit"
description: "Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8); use operations on fractions to solve problems involving data in line plots (e.g. redistribute total equal"
canonical: https://lightmysky.com/learn/mathematics/line-plots-with-fractions-of-a-unit-mt_IHipFGTFEY
source: https://lightmysky.com/learn/mathematics/line-plots-with-fractions-of-a-unit-mt_IHipFGTFEY.md
retrieved: 2026-11-12
---

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# Line plots with fractions of a unit

Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8); use operations on fractions to solve problems involving data in line plots (e.g. redistribute total equally)

Subject: Mathematics · Area: Data & Statistics · Ages 10 to 11
Page: https://lightmysky.com/learn/mathematics/line-plots-with-fractions-of-a-unit-mt_IHipFGTFEY

## Ready when they can

- Create a line plot showing lengths measured to the nearest 1/8 inch
- Use the line plot to find the total of all measurements by adding fractions
- Solve: 'If the total liquid were redistributed equally among all beakers, how much would each have?'

## Lesson: Line plots with fractions of a unit

You already know how to read a line plot and add fractions with different denominators. Each X stands for one measurement. Stack Xs above the same length when measurements repeat. A line plot can show pencil lengths in fractions of an inch. Add every pencil's length to find the total. Divide that total equally to find each person's share.

*(drawing: Eight pencils were measured to the nearest eighth of an inch. Each X represents one pencil at its measured length.)*

**Example.** To find the total length of all the pencils, add each length once for every pencil at that mark: 1/4 + 1/4 + 3/8 + 1/2 + 1/2 + 1/2 + 5/8 + 5/8. Rewrite everything in eighths first, then add. The total comes out to 3 5/8 inches.

**Tip.** When you add fractions from a line plot, find a common denominator first. If every mark on the plot is already in eighths, that part is done for you.

**Example.** A line plot can also help you share a total fairly. Four beakers hold 1/2, 1/2, 1/4, and 1/4 cup of water. Poured together, that is 1 1/2 cups. Split evenly among the 4 beakers, each one gets 3/8 cup.

**Recap.** Read how many Xs sit above each value. Add one length per X for the total, then divide to share it equally.

## Practice

18 questions on this page, each with its working shown.

## Needs first

- [Adding fractions (unlike denominators)](https://lightmysky.com/learn/mathematics/adding-fractions-unlike-denominators-mt_14T5yPXUq_)
- [Measurement Line Plots](https://lightmysky.com/learn/mathematics/measurement-line-plots-mt_42QD6nYjiZ)

## Opens up

- [Comparing data sets with averages and range](https://lightmysky.com/learn/mathematics/comparing-data-sets-with-averages-and-range-mt_XSXnTQoQ4l)