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Question 1 of 5
Convert to a percentage
534
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To convert mixed numbers into percentages, multiply the whole number and the fraction by 100.
Whole number
Percentage |
= |
5×100 |
|
= |
500% |
Fraction
Percentage |
= |
34×100 |
|
|
= |
3×1004×1 |
|
|
= |
3×251×1 |
Simplify |
|
|
= |
75% |
Finally, add the two products to get the final percentage.
Percentage |
= |
500+75 |
|
= |
575% |
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Question 2 of 5
Convert to a percentage
27710
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To convert mixed numbers into percentages, multiply the whole number and the fraction by 100.
Whole number
Percentage |
= |
27×100 |
|
= |
2700% |
Fraction
Percentage |
= |
710×100 |
|
|
= |
7×10010×1 |
|
|
= |
7×101×1 |
Simplify |
|
|
= |
70% |
Finally, add the two products to get the final percentage.
Percentage |
= |
2700+70 |
|
= |
2770% |
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Question 3 of 5
Convert to a decimal
14%
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When dividing decimals to values like 10,100,1000…, simply move the decimal point to the left by the number of zeroes.
Start by converting 14 into a decimal
Since 4 cannot go into 1, write 0. above it and add 0 so that 1 becomes 10
Divide 10 by 4 and write the answer after the decimal
Multiply 2 to 4 and write the product below 10
Subtract 8 from 10 and write the difference one line below
Since 4 cannot go into 2, add 0 so that 2 becomes 20
Divide 20 by 4 and write the answer after 0.2
This means 15% is equal to 0.25%
To convert a percentage to a decimal, divide the percentage value by 100.
Since the decimal is being divided by 100, simply move the decimal point 2 places to the left.
Decimal |
= |
0.25÷100 |
Therefore, 14% is equal to 0.0025
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Question 4 of 5
Convert to a fraction
712%
Write fractions in the format “a/b”
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A percentage describes an amount’s relation to a whole. Dividing it by 100 converts it into a fraction.
712% can be converted to a fraction by having 100 as the percentage value’s denominator.
Simplify the fraction further.
|
|
712100 |
|
|
712×2100×2 |
Multiply the numerator and denominator by 2 |
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|
|
15÷5200÷5 |
Divide the numerator and denominator by 5 |
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|
|
340 |
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Question 5 of 5
Convert to a fraction
1214%
Write fractions in the format “a/b”
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A percentage describes an amount’s relation to a whole. Dividing it by 100 converts it into a fraction.
First, change the mixed number into an improper fraction by multiplying the denominator by the whole number and then adding the numerator
1214 |
= |
(4×12)+14 |
|
|
= |
48+14 |
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|
= |
494% |
Then, convert the percentage to a fraction by having 100 as the percentage value’s denominator
Dividing fractions is the same as multiplying the dividend by the divisor’s reciprocal
Fraction |
= |
494100 |
|
|
= |
494÷100 |
Change from a fraction to division |
|
|
= |
494×1100 |
Get the divisor’s reciprocal then multiply |
|
|
= |
49400 |