Fraction to Decimal to Percent Conversions
Date: 10/29/2001 at 17:57:48 From: Jacob G Subject: Decimal TO fraction TO percent Hi, I am in 7th grade and my teacher requires us to be able to convert fractions, percents, and decimals all together rather than converting a percent to a fraction OR a decimal as you have shown in your examples. I already understand that. What I am confused about is converting: a decimal TO a fraction TO a Percent "OR" a percent TO a decimal TO a fraction a decimal TO a percent TO a fraction My teacher expects us to covert all three in any order and I cannot find how to do that ANYWHERE. Can you show some step-by-step examples? Thank you, Jacob
Date: 10/29/2001 at 22:51:54 From: Doctor Peterson Subject: Re: Decimal TO fraction TO percent Hi, Jacob. I'm a little confused. Are you saying you don't know how to do ANY of these six conversions, or just that you can't do them one after another? Surely we've shown you at least half of them in our FAQ: Fractions, Decimals, Percentages http://mathforum.org/dr.math/faq/faq.fractions.html But let's do them all: Decimal to percent: Multiply by 100%, by moving the decimal point two places to the right and following it with "%": 0.75 -> 0.75 * 100% = 75% Percent to fraction: Replace "%" with "/100", and simplify if required: 75% -> 75/100 = 3/4 Fraction to decimal: Divide numerator by denominator, using as many decimal places as needed: 3/4 -> 3.00 divided by 4 = 0.75 Decimal to fraction: Remove the decimal point to form the numerator, and for the denominator use 1 with as many zeros as the decimal places you removed: 0.75 75 3 0.75 -> ---- = --- = --- 1.00 100 4 Fraction to percent: Multiply numerator by 100% and divide by denominator: 3/4 -> 300% divided by 4 = 75% Percent to decimal: Divide by 100% by taking off the "%" and moving the decimal point two places to the left: 75% -> 75% / 100% = 0.75 Does that cover everything? For harder cases of converting decimal to fraction, see the FAQ. - Doctor Peterson, The Math Forum http://mathforum.org/dr.math/
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