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chelle21689's avatar

How do I figure out this simple math fraction?

Asked by chelle21689 (7907points) August 30th, 2011

93¼ is .9325

I honestly don’t know how this is. The way I’m doing it is ¼= .25 and I would have put 93.25

Same goes for this
109¼ is really 1.0925

I probably would’ve put 109.25

I know this is simple math and I feel really stupid for asking but please help with placing the decimals.

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9 Answers

hiphiphopflipflapflop's avatar

Do you mean 93¼ percent? Because 93¼ really is 93.25.

gailcalled's avatar

You’ve got the decimal wrong on either one side or the other.

93.25 appears to be correct as written.

.9325 is a number less than 1.

109 is a number greater than 100.

skfinkel's avatar

You have to be more clear about the question itself. The answer will then become more clear.

Mariah's avatar

As Gail said, your decimal point is in the wrong place. Furthermore, you’re making a consistent error (putting the decimal two places too far to the left). This leads me to believe that you’re getting it mixed up with percentages, as @hiphiphopflipflapflop said, which involve a factor of .01.

93¼ = 93.25; 93¼% = .9325.

chelle21689's avatar

I know that I’m putting the decimal in the wrong place but how the heck do you know where to move it? I’m terrible at math…ugh.

chelle21689's avatar

Ohhh Okay nevermind I got it. I’m so stupid wow..

Mariah's avatar

@chelle21689 You’re not stupid. :) Math is one of the least intuitive subjects.

You said you got it, but just to be sure – you know where to put the decimal because you know that 93¼ is a number that’s just a little bit bigger than 93 – so you put the decimal after 93 to reflect that – 93.25.

prasad's avatar

You may try one of these.

First method
Separate 93¼ into like :
93¼ = 93 and ¼
93¼ = 93 + ¼
93¼ = 93 + 0.25
93¼ = 93.25

Second method
93¼ = 93 and ¼
93¼ = (93*4 + 1)/4
93¼ = 93.25

Converting fractions into decimals with regards to percentages
Remember you need a denominator 100 to get percentages (for manual calculations).
Example, take ¼.
Now, to make denominator 100, you need to multiply it by 25 (=100 / 4, or 100 / denominator). Multiplication should be done on both numerator as well as denominator to keep the value of fraction same.
¼ = (1*25)/(4*25)
¼ = 25/100
¼ = 0.25…(a number)

When you add percent ’%’...
When you add percent ’%’ to a number, you simply divide the number by 100. So, when you say 25 percent or 25%, it is (25/100), which is 0.25. Division by 100 is simple, take the numerator, add or move decimal point after two digits or places, counting from right to left of the number.
1234/100 = 12.34
4/100 = 0.04
12.34/100 = 0.1234
Conversely, you can also say (if it is related to percentages), 0.25 is 25%. In this case, multiply by 100, and add percent sign.Here, add or move decimal point to right by two digits
Therefore, when you take the percent sign out, divide by 100. And, when you add percent sign, do the reverse; multiply by 100.

prasad's avatar

I hope, my above post makes it clearer and simpler for you to deal with fractions and percentages. You can try it on the two numbers you have.I purposely didn’t touch the two numbers for you to try.

I would like to add a couple of things to the above post.

1) 25 is increased to 75. How much percent is the increase?
25 is increased to 75. Now, 75/25 = 3. To add percent sign, multiply by 100; so, 3*100 = 300%. 25 is increased to 300%.

2) 50 is increased by 50%. What would you get?
First, you have 50. You add to it 50% of the number, which in this case is also 50. So, what we will get is
= Initial number or amount + (Initial number * 50%)
= 50 + (50*50%)
= 50 + (50*50/100)
= 50 + (50/2)
= 50 + 25
= 75

Note, how “to” and “by” change the meaning.

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