# Answer to Question #5557 in Algebra for jessa

Question #5557

can you made fraction into decimal?

Expert's answer

Fractions and decimals represent the same things: numbers that are not whole numbers. Decimal is a fraction which denomanator is power of 10< we just do not write it. For example, 0.5=5/10. To change a fraction into a decimal, divide the numerator (top number) by the denominator (bottom number). Example: What is 5/8 as a decimal?get your calculator and type in "5 / 8 ="

The answer should be 0.625. If you want to do it without calculator you can do it as following. Consider example.

Let's write 9/25 as a decimal.

25 is not a power of 10, but we can easily make it a power of 10 -- we can make it 100 -- by multiplying it by 4.& We must also, then, multiply the numerator by 4. Thus we have& 9/25=9*4/25*4=36/100=0.36

One more& example. Express 1/3 as a decimal. There is no way to multiply 3 to become 10 or 100 or any "1 followed by 0s", but we can calculate an approximate decimal by choosing to multiply by, say, 333. Multiply top and bottom by 333:

1/3=333/999. Now, 999 is nearly 1,000, so let us write down 333 with the decimal point 3 spaces from the right (because 1,000 has 3 zeros): 0.333 (accurate to only 3 decimal places)

In conclusion, to convert a fraction into decimal you should make it's denominator a power of ten by multiplying or dividing numerator and denominator by certain number.

The answer should be 0.625. If you want to do it without calculator you can do it as following. Consider example.

Let's write 9/25 as a decimal.

25 is not a power of 10, but we can easily make it a power of 10 -- we can make it 100 -- by multiplying it by 4.& We must also, then, multiply the numerator by 4. Thus we have& 9/25=9*4/25*4=36/100=0.36

One more& example. Express 1/3 as a decimal. There is no way to multiply 3 to become 10 or 100 or any "1 followed by 0s", but we can calculate an approximate decimal by choosing to multiply by, say, 333. Multiply top and bottom by 333:

1/3=333/999. Now, 999 is nearly 1,000, so let us write down 333 with the decimal point 3 spaces from the right (because 1,000 has 3 zeros): 0.333 (accurate to only 3 decimal places)

In conclusion, to convert a fraction into decimal you should make it's denominator a power of ten by multiplying or dividing numerator and denominator by certain number.

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