Converting 35.816 to a Fraction
Step-by-step explanation of how to convert 35.816 to a fraction

Result

35.816 =
4477
125
Mixed number:
35
102
125

Step 1: Identify the number of decimal places

The decimal 35.816 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

35.816 × 1000 = 35816

Step 3: Write as a fraction

35.816 =

35816
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 35816 and 1000.

GCD(35816, 1000) = 8

Divide both the numerator and denominator by the GCD:

35816
1000

=

35816 ÷ 8
1000 ÷ 8

=

4477
125
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