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ChatterBank1 min ago
Ratios
8 Answers
I need help with some ratios. I really haven't got a clue how to do them..
could i please get some help and some examples?
could i please get some help and some examples?
Answers
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Ratios aren't particularly hard to deal with but it would help to know exactly what you're trying to do.
For example are you being asked to simplify ratios or to distribute quantities in accordance with certain ratios? Neither is particularly hard but they require the use of different mathematical techniques.
For example:
Q1. Simplify the ratio 120:200, reducing it to its simplest terms.
To simplify the ratio, we just need to look for numbers which will divide into both sides (i.e. 'common factors'). For example, you might quickly spot that both sides of the ratio can be divided by 10, so let's do that:
120:200 = 12:20.
Now we look again to see if there's anything which divides (exactly) into both 12 and 20. 4 does, so let's divide by that:
12:20 = 3:5.
Now we look again to see if we can divide further. We can't, so 120:200, reduced to its simplest form, equals 3:5.
(Simplifying ratios is exactly the same as simplifying fractions. If you can do one, you can do the other).
Now let's try sharing something out, according to a given ratio:
Q2: Fred's will leave his money to be shared in the ratio 2:3 between his two children Mary (M) and Peter (P). i.e.
M:P = 2:3
When he dies, he leaves �40,000. How much does each person get?
The trick here is to look at the total number of shares. Mary must get 2 shares, Peter must get 3 shares, so the money has to be divided into 5 shares. Let's do that:
1 share = �40,000 � 5 = �8,000
Now lets give each person the correct amount.
Mary gets two shares = 2 x �8,000 = �16,000
Fred gets 3 shares = 3 x �8,000 = �24,000
For further help, please give us some idea of exactly what you're trying to do.
Chris
(Forner Maths teacher)
For example are you being asked to simplify ratios or to distribute quantities in accordance with certain ratios? Neither is particularly hard but they require the use of different mathematical techniques.
For example:
Q1. Simplify the ratio 120:200, reducing it to its simplest terms.
To simplify the ratio, we just need to look for numbers which will divide into both sides (i.e. 'common factors'). For example, you might quickly spot that both sides of the ratio can be divided by 10, so let's do that:
120:200 = 12:20.
Now we look again to see if there's anything which divides (exactly) into both 12 and 20. 4 does, so let's divide by that:
12:20 = 3:5.
Now we look again to see if we can divide further. We can't, so 120:200, reduced to its simplest form, equals 3:5.
(Simplifying ratios is exactly the same as simplifying fractions. If you can do one, you can do the other).
Now let's try sharing something out, according to a given ratio:
Q2: Fred's will leave his money to be shared in the ratio 2:3 between his two children Mary (M) and Peter (P). i.e.
M:P = 2:3
When he dies, he leaves �40,000. How much does each person get?
The trick here is to look at the total number of shares. Mary must get 2 shares, Peter must get 3 shares, so the money has to be divided into 5 shares. Let's do that:
1 share = �40,000 � 5 = �8,000
Now lets give each person the correct amount.
Mary gets two shares = 2 x �8,000 = �16,000
Fred gets 3 shares = 3 x �8,000 = �24,000
For further help, please give us some idea of exactly what you're trying to do.
Chris
(Forner Maths teacher)
Ah but humpty..... if you put your apple in the bowl and I put my apple in the bowl as well, there would then be two apples. Your (one) apple would constitute one half (1/2) of the total number of apples in the bowl.
If Chris added his apple to the bowl, there would then be three in total, one third (1/3) of which would be yours, one third mine and one third yours......
In other words one needs to think about the total amount available - the bottom half of the fraction as well as the part you want to apportion (the top half).
If Chris added his apple to the bowl, there would then be three in total, one third (1/3) of which would be yours, one third mine and one third yours......
In other words one needs to think about the total amount available - the bottom half of the fraction as well as the part you want to apportion (the top half).
I understand ratios and even your answers confuse me.
Just think of ratios as parts dude
say 5:2
Say one part is 100g
5:2 = 5 parts to 2 parts
One part is 100g so 5 parts is 500g
Two parts is 200g
easy as that
Say one part = 144g
Ratio is 6:3
Easy as 6 x 144g = 864g
3 x 144g = 432g
so 6:3 is 864g to 432g
Used the gram unit so bit easier to understand.
Just think of ratios as parts dude
say 5:2
Say one part is 100g
5:2 = 5 parts to 2 parts
One part is 100g so 5 parts is 500g
Two parts is 200g
easy as that
Say one part = 144g
Ratio is 6:3
Easy as 6 x 144g = 864g
3 x 144g = 432g
so 6:3 is 864g to 432g
Used the gram unit so bit easier to understand.
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