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- Word Problems
- Fractions - 4 Ops

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## Fractions: mixed operations

Fraction word problems with the 4 operations.

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## Word Problems with Fractions

Today we are going to look at some examples of word problems with fractions.

- Read the problem carefully.
- Think about what it is asking us to do.
- Think about the information we need.
- Simplify, if necessary.
- Think about whether our solution makes sense (in order to check it).

As you can see, the only difference in fraction word problems is step 5 (simplify) .

In my fruit basket, there are 13 pieces of fruit, 5 of which are apples.

How can we express the number of apples as a fraction?

## Word problems with fractions: involving two fractions

In these problems, we should remember how to carry out operations with fractions.

Carefully read the following problem and the steps we have taken to solve it:

What fraction of the payment has Maria spent?

We find the common denominator:

## Word problems with fractions: involving a fraction and a whole number

We convert 1 into a fraction with the same denominator:

What do you think of this post? Do you see how easy it is to solve word problems with fractions?

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## Privacy Overview

## Fraction Word Problems (Difficult)

5 units = 95 1 unit = 95 ÷ 5 = 19 7 units = 7 × 19 = 133

Answer: There are 133 children in the restaurant.

350 – 95 = 255 3 units = 255 1 unit = 255 ÷ 3 = 85 7 units = 85 × 7 = 595

Answer: Gary has $595 after shopping.

Answer: Peter’s shop has 54 more printed colored shirts than plain shirts.

Solve a problem involving fractions of fractions and fractions of remaining parts

How to solve a four step fraction word problem using tape diagrams?

## What to Do When Students Struggle with Fraction Operations

## Why Do Students Struggle with Fraction Operations?

The actual answer is different for each student. But here are the common pitfalls to look out for.

## Fractions Aren’t Intuitive

## Many Students Lack Foundational Concepts

Instead, it becomes a collection of “ math facts ,” random rules, and secret symbols.

## Fraction Operations Contradict Whole Number Rules

Even students who understand whole number concepts may struggle with fractions.

## Three Tips for Teaching Fraction Operations

The first step to helping your students with fraction operations is to learn why they struggle .

The next is to have specific, actionable steps to address those challenges.

## 1. Review and Assess Fraction Foundations

## 2. Connect Fraction Operations to Whole Number Operations

## Addition and Subtraction

By counting up beyond a whole , they can begin to operate with mixed numbers (⅔ + ⅔ = 1 ⅓).

## Fractions Activities for Your Classroom

## Converting Fractions to Percents| Interactive Digital Visual Models

## Dividing Fractions Word Problem Activities – Complete Digital and Print Lesson

## Fraction Essentials Bundle: e-Book and Digital Activities

## Fraction Foundations Visual Models and Digital Manipulatives | Interactive Google Slides

## Dividing Fractions

Dividing fractions can also be anchored in what students know about whole numbers.

## Equivalent Fractions

The second reason is that fraction multiplication can be used to teach equivalent fractions.

## 3. Use The Three Vehicles to Teach Fraction Operations

## Scale Models

## Three Bridges Online Workshops for Educators

## Elementary Word Problems: Online Workshop for Math Teachers

## Online Workshop: How to Teach Word Problems in Middle School

## Teaching With Manipulatives And Visual Models (Grades 1-5)

## Visual Models and Math Manipulatives for Middle School

## Story Problems

The third vehicle, story problems, help with application skills and mathematical language.

## Teaching Fraction Operations in Your Classroom

You can find resources for teaching fractions with all three vehicles in our online store .

Get Your Copy of FRACTION ESSENTIALS

## About the Author

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You might also enjoy these articles:.

## How to Teach Fractions: 4 Strategies for Student Success

## Addressing The Problem with Homework

## Do You Know the Five Meanings of Multiplication?

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Analysis: To solve this problem, we will add two fractions with like denominators.

Answer: Rachel rode her bike for three-fifths of a mile altogether.

Analysis: To solve this problem, we will subtract two fractions with unlike denominators.

Answer: Stefanie swam one-third of a lap farther in the morning.

Answer: It took Nick three and one-fourth hours to complete his homework altogether.

Answer: Diego and his friends ate six pizzas in all.

Answer: The Cocozzelli family took one-half more days to drive home.

Answer: The warehouse has 21 and one-half meters of tape in all.

Answer: The electrician needs to cut 13 sixteenths cm of wire.

Analysis: To solve this problem, we will subtract a mixed number from a whole number.

Answer: The carpenter needs to cut four and seven-twelfths feet of wood.

- Add fractions with like denominators.
- Subtract fractions with like denominators.
- Find the LCD.
- Add fractions with unlike denominators.
- Subtract fractions with unlike denominators.
- Add mixed numbers with like denominators.
- Subtract mixed numbers with like denominators.
- Add mixed numbers with unlike denominators.
- Subtract mixed numbers with unlike denominators.

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## COMMENTS

An explanation of how to choose a strategy to solve word problems. ... Grade 6 Math #4.9, Problem Solving - multi-step fraction operations.

Sometimes a word problem will involve more than one fraction operation, more than 1 step. We can use parentheses to group different

This (FUN) lesson solves fraction problems using a bar model.

The strategy work backward can help us solve a problem with fractions that involve addition and subtraction. We can write an equation to

These word problems involve the 4 basic operations (addition, subtraction, multiplication and division) on fractions. Mixing word problems encourages

Read the problem carefully. · Think about what it is asking us to do. · Think about the information we need. · Solve it. · Simplify, if necessary.

Fraction Word Problems - using block models (tape diagrams), Solve a problem involving fractions of fractions and fractions of remaining parts, how to solve

This vehicle comes last, because students can use scale models and number sentences as tools for solving word problems. Teaching Fraction Operations in Your

Analysis: To solve this problem, we will subtract two fractions with unlike denominators. Solution: word-example2.gif. Answer: Stefanie swam one-third of a lap

Step 1: Use keywords to write the equation representing the situation in the word problem. Step 2: Employ the order of operations to solve the word problem.