Fraction Riddles (harder)

"Math Salamanders Free Math Sheets"

Welcome to the Math Salamanders Free Printable Fraction Worksheets: Fraction Riddles (harder).

Here you will find some printable fraction riddles to help your child
understand about improper and equivalent fractions are and solve problems involving these fractions.

These Fraction Riddles are aimed at children around 4th and 5th grade.

How to Print or Save these sheets

- Follow the 3 easy steps below to get your worksheets printed out perfectly!

Step 1

Click it.

Step 2

Magnify it

(if needed).

Step 3

Print it!

Need further help? Use our How to Print Support Page

How to Print or Save these sheets

Need help with printing or saving?

Follow these 3 easy steps to get your worksheets printed out perfectly!

Fractions is an area that a lot of kids find hard to understand. One of the problems with fractions is that they have different meanings depending on the context.

For example, you can eat half an apple or cut an orange into fourths. But you can also put the number one-half on a number line, measure a line 3 1/2 cm long, or find a fourth of 24.

Once the concept of fractions as numbers and fractions as parts of a whole has been understood, your child will be well on their way to developing a sound understanding of fractions.

Useful Fraction Definitions

What is a fraction?

A fraction is a number which contains parts of a whole.

Fractions can be smaller than or larger than one (one whole).

A fraction is a number with the form
**
n
d
**

where n and d are two numbers.

The number n above the line is called the **numerator**.

The number d below the line is called the **denominator**.

Equivalent Fractions

Equivalent fractions are fractions which have the same value as each other.

A quick way to tell whether or not two fractions are equivalent is to change them both into decimals using a calculator.

If the two decimals are identical, then the fractions have the same value.

The printable fraction page below contains more support, examples and practice using equivalent fractions.

Proper and Improper Fractions & Mixed Numbers

A fraction is a number with the form
**
n
d
**

If the numerator is smaller than the denominator (if n<d),
then the fraction is called a **proper fraction**,
and its value is less than 1.

If the numerator is greater than the denominator (if n>d), then the
fraction is called an **improper fraction**, and its value is greater than 1.

If the numerator is equal to the denominator, then the fraction's value is equal to 1.

A **mixed number (or mixed fraction)** is a number that has
a whole number part to it, and a fraction part to it.

Examples

3 7, 2 10 and 17 26 are all proper fractions.

31 5, 15 10 and 37 23 are all improper fractions.

3 1 5, 1 2 3 and 12 7 10 are all mixed numbers or mixed fractions.

Free Printable Fraction Worksheets - Fraction Riddles (harder)

The worksheets on this page consist of 3 or 4 clues and a set of 8 possible answers. Using the clues, you have to work out which of the answers are correct.

These riddles are a great way to get children thinking at the start of a lesson, or used to check children's understanding at the end.

Using these sheets will help your child to:

- know the language of fractions;
- order mixed numbers and fractions;
- know when one fraction is equivalent to another;
- convert an improper fraction to a mixed number;
- solve problems involving more than one criteria.

All the free printable Fraction worksheets in this section support the Elementary Math Benchmarks.

Fraction Riddles 4th Grade

The puzzles in this first section mainly involve equivalent fractions.

The clues test if children know when a fraction is more or less than a half.

The terms 'multiple' and 'factor' are also used in these sheets.

These free printable fraction worksheets are suitable for children at around a 4th grade level.

Fraction Riddles 5th Grade

In this section, there is a much wider range of improper fractions and mixed numbers to compare.

The clues will test whether children can convert improper fractions to mixed numbers.

The concept of an improper fraction being more or less than a given amount is also explored.

Each of the free printable fraction worksheets comes with an answer sheet.

Useful Fraction Strips Resources

These strips will help children to answer some of the clues and work out whether or not the fraction is larger or smaller than a half.

There are a variety of fraction strips with fractions equivalent to halves, thirds, fourths and fifths.

Looking for some easier riddles?

The Fraction Riddles on this webpage are at a simpler level than those here.

Simple comparisons are made between fractions and whole numbers, and the terms 'numerator' and 'denominator' are introduced.

Learning Fractions

Are you looking for free fraction help or fraction support?

Here you will find a range of fraction help on a variety of fraction topics, from simplest form to converting fractions.

There are fraction videos, worked examples and practice fraction worksheets.

Fourth Grade Fraction Worksheets

Here you will find a range of free printable 4th Grade Fraction Worksheets.

At 4th Grade level, children are introduced to different ways of looking at fractions, from fractions as points on a number line, to fractions being parts of a whole. They understand different unit fractions, e.g. a half, a quarter, a Fourth, etc, and can locate these on a number line.

Using these sheets will help your child to:

- position different fractions on a number line;
- understand equivalent fractions;
- understand what a mixed number is;
- begin to convert fractions to decimals and decimals to fractions.

All the Fourth Grade Math Worksheets in this section are informed by the Elementary Math Benchmarks for Fourth Grade.

Return to Math Puzzles Printable Hub

Return to Fraction Worksheets Hub

Return from Free Printable Fraction Worksheets page to Math Salamanders Homepage

Math-Salamanders.com

The Math Salamanders hope you enjoy using these free printable Math worksheets and all our other Math games and resources.

We welcome any comments about our site or worksheets on the Facebook comments box at the bottom of every page.

Search here!

- Online Times Table Practice
- Times Table Worksheets
- Geometry Sheets
- Fraction Sheets
- Money Sheets
- Math Games
- Math Fact Resources
- Fun Math Puzzles & Activities
- Math Help Pages

Take a look in our brand new shop where you can find a range of our latest e-books to purchase.

Have a look at some of our most popular pages to see different Math activities and ideas you could use with your child

- List of Geometric Shapes
- Equivalent Fractions
- Printable Shapes
- 3d Geometric Shapes
- Perimeter Worksheets

If you are a regular user of our site and appreciate what we do, please consider making a small donation to help us with our costs.

Get a free sample copy of our Math Salamanders Dice Games book with each donation!

Looking for some cool math certificates to hand out?

A certificate is a great way to praise achievement in math learning.

Check out our printable math certificate collection!

ABCmouse is a subscription based online education program designed for children aged from 2 to 8.

Fun learning activities based around Reading, Math, Science and Art.

Winner of several curriculum awards, including Mom's Choice Awards (Gold) and Parents Choice Gold Award.

Try it free for 30 days!

Looking for a new direction in your life in 2017?

Want an extra income you can earn from home with proven results?

Got a hobby you want to share?

Expand your horizons with SBI!

I used this to develop this site in 2010, and have never looked back!

Click here for my story!

## New! Comments

Have your say about the Math resources on this page! Leave me a comment in the box below.