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Fractions Mixed Numbers

Randall Said:

Writing percents as a common fractions/mixed numbers?

We Answered:

Hello Booker,
A percent is any number divided by one hundred (that's where the % comes from). To write a percent as a number, multiply by one hundred---remember that 1/3 is .3333.
So........422 1/3% is 422.3333%....multiplied by one hundred is 42233.33 (...decimal equivalent...).
To convert a percent to a fraction, you STILL divide by one hundred......
422 1/3 must be converted to an improper fraction....multiply 422 by the three in 1/3 and add the 1 in
1/3.....your improper fraction is....1267/3 (In fraction form, to divide by 100 is to multiply by 1/100.
1267/3 multiplied by 1/100 is 1267/300.....Now just divide and simplify to its lowest possible.

Tom Said:

Writing percents as common fractions/mixed numbers?

We Answered:

You were on the right track. To turn a percentage into a fraction, you divide it by 100. 38.6% would be 38.6/100 (You forgot the decimal.) You would then multiply both by 10 to get 386/1000 or 193/500. 193 is a prime number and can't be divided any further. To check it, just divide it out. 193/500=0.386 or 38.6%.

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