Converting 10.816 to a Fraction
Step-by-step explanation of how to convert 10.816 to a fraction

Result

10.816 =
1352
125
Mixed number:
10
102
125

Step 1: Identify the number of decimal places

The decimal 10.816 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

10.816 × 1000 = 10816

Step 3: Write as a fraction

10.816 =

10816
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 10816 and 1000.

GCD(10816, 1000) = 8

Divide both the numerator and denominator by the GCD:

10816
1000

=

10816 ÷ 8
1000 ÷ 8

=

1352
125
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