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KS3

Numbers

Question

How would you give 57p as a percentage of £1.20?

2 years ago

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120 Replies

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5826 views

P

Penelope Ryan


120 Answers

C
Connor George

Heya Penelope!


First off we need to break down this into easier numbers. As we know, there is 100p in £1.


So using this, we know that £1.20 is £1 + £0.20 or 100p + 20p. Giving us 120p in total.


Now, we have 57p out of the total 120p. That's a lot of money!


So, if we put this into a factor what do we get? 57/120! Plug this into your calculator, and you will get 0.475.


But 0.475 is not a percentage? Ah, that's where the trick comes in, you see a factor will only produce a decimal as long as the top number (Numerator) is smaller than the bottom number (Denominator). A decimal is always out of 100 (for example 1/100 is 0.01).


To change a decimal to a percentage, we simply need to times the decimal by 100. Giving us a total percentage of 47.5%

Z
Zoe Cohen

First you need to write the 57p so it is in the same form as the £1.20. Therefore the 57p would be written as 0.57.

Then you need to write 0.57/1.20 (0.57 divided by 1.20) to work out what 0.57 is as a proportion of 1.20. The answer to this is 0.475.

Finally, you multiply 0.475 by 100 to give the final percentage. 0.475 x 100 = 47.5.

So, 57p as a percentage of £1.20 is 47.5%.


N
Natasha Cornell

Convert them both to the same units, either £0.57 and £1.20 or 57p and 120p, then divide the smaller by the larger and multiple by 100.

V
Vicky Miller

First turn the money into a fraction - we want to find 57/120 which is 0.455.

We then multiply that by 100 to find the percentage - 0.455 x 100 = 45.5%

M
Mohammad Nabil Hussain Choudhury

A percentage is a way of writing a fraction of 100 by using the percentage symbol - %.


For example 5 out of 10 can be represented by fractions as a half of a whole, because 5/10 is equal to 1/2. To turn the fraction 5/10 or 1/2 into a percentage (as both are equal) all we need to do is multiply by 100, because a fraction of 100 is the result of multiplying by 100.


Both 57p (numerator - part of the whole) and £1.20 (denominator - the whole), should have the same units when working out percentages, so £1.20 can be written as 120p or 57p can be written as £0.57


It is more convenient to work in whole numbers so both values in pennies is more sensible. The fraction we can deduce is 57/120, which we multiply by 100 to give us the percentage 47.5%.


To make solving this without a calculator easier the fraction 57/120 can be simplified to 19/40 and because we multiply by 100 we can further simplify by changing dividing by 40 and multiplying by 100 to dividing by 4 and multiplying by 10 (i.e. we cancel out the factor of 10):


(57/120) x 100 is simplified to (19/4) x10. 19/4 is equal to 4.75. 4.75 x 10 is 47.5. The answer is 47.5% (remember the units)

A
Ankita Pawaskar

you do 57 divided by 120, then times by 100

A
Aysha

Firstly, we need to convert £1.20 into pence, so 120p, then we simply type in the calculator 57/120 *100

N
Negina M

57/120 = 19/40 = 0.475

J
Jaidan Daudia

120p is equivalent to £1.20 - (you need the units for the two numbers to be the same to work with them)


then you'd use the percentage formula in which: 57/120 * 100 which would give the answer.



P
Priscilla Roux

you would take 52, divide it by 1.20 and multiple it by 100.

R
Ropa Mashingaidze

57p as a percentage of £1.20 is 47.5%


To work it out you would divide 57p by £1.20 (120p) and multiply the answer by 100.

M
Muhammad Yahiya Umer

Well the easiest way is learn the ratio method.


Lets make 2 coloums

Percentage : £

100% : 1.20£

x% : 0.57£


If you cross multiply, you will get the answer.


100 * 0.57 = X * 1.20

X = 47.5%


So, the answer is 47.5%

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Kramele F Verified Sherpa Tutor ✓

Nothing is easy. Keep practicing! smile with a sprinkle of psychology.

To get the percentage of a number, first divide the amount by the total amount. For example, 0.57 (57p) divided by 1.20. Then multiply by 100 for the percentage.


0.57 / 1.20 = 0.475 x 100% = 47.5%


and if you check your answer 1.20 x 47.5% or 1.20 x 0.475 = 0.57 or 57p

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E
Emi Saji

You would work out 57p/120p to work out the decimal form and then multiply by 100 to get the %

J
Jon Hicks

(57/120) x 100 = 47.5%

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