the magical world of fractions

A Guide to A Guide to MathematicsMathematics

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Name- Nomsita Haritashya Class- 6

Name- Nomsita Haritashya Class- 6

Fun withFun with Fractions Fractions

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• Fractions can and will help you in real life. In order to figure out how to make only part of a recipe because you do not want to feed ten people, but only five, fractions will be very helpful.

•You can use fractions to divide cake, or candy, and you will need fractions to help figure out percents.

•Fractions are useful when you buy paint to make your house look nice and for figuring how much interest you will pay to the bank when you take a loan.

•If u want to buy something so if it is not in ur budget u will buy it in installments so u can also count the money in fractions also.

The parts representing out of a whole.

Here u can see 1 pizza

It is divided into 6 equal parts

Now u have eaten a slice so, u have eaten 1 part from a whole means from 6 parts =

Fraction of eaten parts

The parts representing out of a whole.

Here u can see 1 chocolate

It is divided into 5 equal parts

Now u have eaten a piece so, u have eaten 1 part from a whole means from 5 parts =

Fraction of eaten parts

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The number in the NORTH is the

Numerator!

The number that is DOWN is the

Denominator!

2 is Green4 This is 1 whole

It is divided into 4 equal partsWe shade its 2 parts green

3 of the set are Apples5

Part of a set

2 of the set are Strawberries5

Naming Parts of a Whole

ThirdsThirds FourthsFourths

Tenths Tenths

Naming Fractional PartsThe flag of Nigeria has 3 equal parts. What fraction of the flag is green ?

Numerator Numerator

Denominator Denominator

Two Thirds of the flag is Green Two Thirds of the flag is Green Ans.Ans.

• You will be asked to order fractions from Greatest to Least (Descending order) and from Least to Greatest (Ascending order)

Ordering Fractions

2244

6688

1010Ascending

OrderAscending

Order

4466

881010 Descending

OrderDescending

Order

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Least to greatest:   1 1 19 6 3

Ordering Fractions withDrawing A Picture

1 1 1 3 6 9

• EQUivALent means EQUAL!E.g. 2/4 is also equal to ½ (that means

half of an object)

Equivalent Fractions

We take a whole

We take a whole

We divide it into 4 equal parts

We divide it into 4 equal parts

We divide it into 2 equal parts

We divide it into 2 equal parts

2/42/4 ½½

• To find equivalent fractions…

Use bottoms up!

24 243 46 8

=

Cross Multiplication

24 24=

• A mixed number is a whole number and a fraction combined

Mixed Numbers

There are 3 whole apples and half apple so , it will be written as

• Count the WHOLEs first

• Then find the FRACTIONal part

Mixed Numbers

When a picture is not given, you have two choices:

1. Draw a picture and solve!

2. Do the math!

Finding Parts of a Set

Sol.Sol. 641

= =64

Use Bottoms Up!

16 6>Two-sixths is greater than one-eighth

Comparing Fractions…

2 16 8

Two-sixths is greater than one-eighth

Cross multiplication method

• USE YOUR STRATEGIES!!! Do not try to work out the problems in your head !!!

• Review all of the tricks and hints in this slideshow!

• Review your notes from class!

PRACTICE! PRACTICE! PRACTICE!

Fraction Problem Solving

Fraction Problem Solving

YOU’VE LEARNT FRACTIONS

So keep practicing !!!!

Time for Practice

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What fraction of the balls are blue?

14

What fraction of the balls are orange?

56

What fraction of the balls are blue?

46

What fraction of the balls are orange?

What fraction of the rectangle is orange?

46

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What fraction of the rectangle is blue?

44

What fraction of the pie is green?

1

1

1

1

Find the denominators of these fractions

Addition of Addition of FractionsFractions

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