What is 7/8 as a terminating decimal?

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How to convert 7/8 to a recurring or terminating decimal.
Conversion table: fraction to decimal inches and millimeter equivalence
Practical fraction to decimal inches and millimeter conversion chart
Fraction to Decimal Calculator
1 Expert Answer
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Is 7/8 a terminating fraction?
What is 7/8 as a decimal in inches?
What is 6/10 as a terminating decimal?

Here we will show you how to determine if 7/8 is a terminating decimal or a non-terminating decimal.

A terminating decimal is a decimal number that has a finite number of decimals and does not go on indefinitely. We want to know if the decimal number you get when you divide the fraction 7/8 (7 ÷ 8) is terminating or non-terminating.

Here are the steps to determine if 7/8 is a terminating decimal number:

1) Find the denominator of 7/8 in its lowest form.
The greatest common factor (GCF) of 7 and 8 is 1. Convert 7/8 to its simplest form by dividing the numerator and denominator by its GCF:

Thus, the denominator of 7/8 in its lowest form is 8.

2) Find the prime factors of the answer in Step 1.
The prime factors of 8 are all the prime numbers that you multiply together to get 8. The prime factors of 8 are:

2 x 2 x 2

3) Determine if 7/8 is terminating
A fraction is a terminating decimal if the prime factors of the denominator of the fraction in its lowest form only contain 2s and/or 5s or no prime factors at all. This is the case here, which means that our answer is as follows:

7/8
= terminating

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Is 7/9 a terminating decimal?
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How to convert 7/8 to a recurring or terminating decimal.

7/8 is equal to 0.875 in decimal form. Use our fraction to decimal calculator to convert any fraction to a decimal and to know if it is a terminating or a recurring (repeating) decimal.

Conversion table: fraction to decimal inches and millimeter equivalence

To convert fractions to decimals and millimeters and vice-versa use this formula:

1 inch = 25.4 mm exactly, so ...

To convert from inch to millimeter multiply inch value by 25.4.

To convert from millimeter inch divide millimeter value by 25.4.

An easier way to do it is to use the table below. How?

Example 1

Convert 1 1/32" to mm:

Find 1 1/32 and read to the right under mm column! You will find 26.1938.

Example 2

Convert 0.875 decimal inches to inches (fraction form).

Look down the decimal column until you find 0.875, then read to the left to find 7/8 inches or move to the right column to find the mm value!

Practical fraction to decimal inches and millimeter conversion chart

Fraction to Decimal Calculator

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Math

Lay M.

asked • 08/13/18

7/8 as a decimal and is it repeat or terminate

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1 Expert Answer

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By:

Lauren H. answered • 08/13/18

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To do this without a calculator, divide 7 by 8 longhand. Alas, I can't really duplicate this, but the answer is .875. It does not repeat, it terminates.

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