Fractions, Decimals and Percentages

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Presentation transcript:

Fractions, Decimals and Percentages Interchanging Fractions, Decimals and Percentages

What area is shaded?

1/2 ? ? 50% 0.5 ? Answers All 3 numbers mean the same thing. Fraction: Percentage: Decimal: ? 50% 0.5 ? All 3 numbers mean the same thing.

Interchanging Fractions, decimals and percentages can all be used to describe parts of a whole. It is therefore possible to interchange them.

More shapes Here are some more shaded shapes. Can you describe the shaded areas using fractions, percentages and decimals?

Can you name the Fraction. Percentage & Decimal? 1/4 ? ? 25% 0.25 ?

Can you name the Fraction, Percentage & Decimal? 3/10 ? ? 30% 0.3 ?

Missing Pages

Can you name the Fraction. Percentage & Decimal? 6/25 ? ? 24% 0.24 ?

Interchanging Without Pictures

Interchanging You don’t need a picture to interchange Fractions, Decimals & Percentages. There are calculations that will do the job quickly and easily.

Decimals & Percentages Interchanging Decimals & Percentages

Decimals & Percentages Percentages are a measure out of 100. Decimals are a measure out of 1. To change a decimal into a percentage you multiply by 100. To change a percentage into a decimal you divide by 100.

The diagram illustrates this. Decimals Percentages x 100 100

Decimals to Percentages 0.45 = 0.67 = 0.12 = 0.30 = 45% 67% 12% 30%

Missing Pages

Percentages to Decimals 10% = 5% = 11.1% = 888% = 0.1 0.05 0.111 8.88

Percentages to Fractions Interchanging Percentages to Fractions

Percentages to Fractions A percentage is already a type of fraction. To be precise, a percentage is a fraction of one hundred. To change a percentage into a fraction, you first put the percentage over 100, then simplify.

Here is an example 60% = 100 20 = 60 ? 3 ? 20 = ? 5

Now try this one. 70% = 100 10 = 70 ? ? 7 10 = 10 ?

Missing Pages

Try working out these. 10% = 80% = 22% = 15% = 7% = 98% = 48% = 1/10 10% = 80% = 22% = 15% = 7% = 98% = 48% = 1/10 4/5 11/50 3/20 7/100 49/50 12/25

Interchanging Fractions to Decimals

Fractions to Decimals You might not realise it, but a fraction is actually a division sum! For example the fraction ¾ is the division sum 3  4. When you do the sum you get the decimal. The only tricky bit is doing the sum.

¾ as a decimal. 3 4 = 4 3

So how many 4s go into 3? 0 remainder 3 3 . 0 0 . = 4 3 3 4

How many 4’s in 30? 7 remainder 2 3 . 0 0 . 7 = 4 3 3 2 4

Missing Pages

The answer … 0.75 3 4 = 2 4 3 7 5 . 0 0 .

Try these 1/2 = 1/4 = 1/5 = 3/10 = 4/5 = 9/10 = 1/8 = 0.5 0.25 0.2 0.3 1/2 = 1/4 = 1/5 = 3/10 = 4/5 = 9/10 = 1/8 = 0.5 0.25 0.2 0.3 0.8 0.9 0.125

Interchanging Fractions, Decimals & Percentages By S. Howarth ORB Education Visit http://www.orbeducation.com for a range of quality teaching materials.