Converting 10.6125 to a Fraction
Step-by-step explanation of how to convert 10.6125 to a fraction

Result

10.6125 =
849
80
Mixed number:
10
49
80

Step 1: Identify the number of decimal places

The decimal 10.6125 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

10.6125 × 10000 = 106125

Step 3: Write as a fraction

10.6125 =

106125
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 106125 and 10000.

GCD(106125, 10000) = 125

Divide both the numerator and denominator by the GCD:

106125
10000

=

106125 ÷ 125
10000 ÷ 125

=

849
80
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