7/10 as a Decimal

7/10 as a decimal0.7
Decimal (rounded)
0.7
Percent
70%
Simplest form
7/10
Type
Terminating decimal

7/10 = 0.7

7/10 as a decimal is 0.7.

Step by step

  1. Divide 7 by 10: 0 whole (so the answer starts 0.), remainder 7.
  2. Bring down a 0: 70 ÷ 10 = 7, remainder 0.
  3. Result: 7/10 = 0.7.

Shortcut: 10 divides evenly into 10, so multiply the top and bottom by 1: 7/10 = 7/10 = 0.7. This works for any fraction whose denominator has only 2s and 5s as prime factors, which is why 7/10 gives a terminating decimal.

Details

Decimal (rounded)
0.7
Percent
70%
Type
Terminating decimal
Equivalent fractions
14/20, 21/30, 28/40

How it works

A fraction means division: the numerator (top) divided by the denominator (bottom). Use long division, adding zeros after the decimal point until the remainder is zero or a remainder repeats. If the simplified denominator has only 2 and 5 as prime factors, the decimal terminates; otherwise it repeats forever, and the repeating digits are marked with a bar.

Nearby values

FractionDecimal
21/320.65625
2/30.6̅
11/160.6875
9/130.6̅9̅2̅3̅0̅7̅
7/100.7
5/70.7̅1̅4̅2̅8̅5̅
23/320.71875
8/110.7̅2̅
11/150.73̅

Related conversions

Frequently asked questions

What is 7/10 as a decimal?

7/10 = 0.7.

How do you convert 7/10 to a decimal?

Divide 7 by 10. 7 ÷ 10 = 0.7.

What is 7/10 as a percent?

70%.

Is 7/10 a terminating or repeating decimal?

Terminating — the division ends with no remainder.

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