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what is .875 as a reduced fraction?

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2 Answers

If you are wanting to know how to solve these types of problems yourself, you need to know your decimal places!

For .875, the 8 is in the tenths place, the 7 is in the hundredths place, and the 5 is in the thousandths place.

You could read .875 as "point eight seven five" OR you could read it as "eight hundred seventy-five thousandths."

Therefore, as a fraction, .875 = 875/1000 (A number such as .46 would be 46/100 as a fraction. And .7 would be 7/10.  These fractions are all based on the decimal place: tenths, hundredths, thousandths, etc.)

Now that it is a fraction, you need to reduce. Use your divisibility rules to decide what can divide into both 875 and 1000. I would probably start with dividing by 5, because I like to divide by many small numbers rather than the largest possible (the GCF) right away. You could choose either method!

Dividing by 5 three times, you see that 875/1000 = 175/200 = 35/40 = 7/8.

There are no more numbers that divide into both 7 and 8, other than 1, so your fraction is as reduced as possible.

7/8 - if the denominator were to be reduced any further than the numerator (a prime) would be reduced also, which can't happen