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what is .875 as a reduced fraction?

can you show me .875 as a reduced fraction


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Audrey B. | Certified 7-12 Math Teacher, Cheerful and Engaging!Certified 7-12 Math Teacher, Cheerful an...
4.9 4.9 (80 lesson ratings) (80)

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.

Ryan L. | Ryan, a wiz at Math, Physics, Chemistry, Biology and EngineeringRyan, a wiz at Math, Physics, Chemistry,...

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