Converting 0.10705 to a Fraction
Step-by-step explanation of how to convert 0.10705 to a fraction

Result

0.10705 =
2141
20000

Step 1: Identify the number of decimal places

The decimal 0.10705 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

0.10705 × 100000 = 10705

Step 3: Write as a fraction

0.10705 =

10705
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 10705 and 100000.

GCD(10705, 100000) = 5

Divide both the numerator and denominator by the GCD:

10705
100000

=

10705 ÷ 5
100000 ÷ 5

=

2141
20000
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