Converting 10.355 to a Fraction
Step-by-step explanation of how to convert 10.355 to a fraction

Result

10.355 =
2071
200
Mixed number:
10
71
200

Step 1: Identify the number of decimal places

The decimal 10.355 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

10.355 × 1000 = 10355

Step 3: Write as a fraction

10.355 =

10355
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 10355 and 1000.

GCD(10355, 1000) = 5

Divide both the numerator and denominator by the GCD:

10355
1000

=

10355 ÷ 5
1000 ÷ 5

=

2071
200
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