Converting 10.40176 to a Fraction
Step-by-step explanation of how to convert 10.40176 to a fraction

Result

10.40176 =
65011
6250
Mixed number:
10
2511
6250

Step 1: Identify the number of decimal places

The decimal 10.40176 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

10.40176 × 100000 = 1040176

Step 3: Write as a fraction

10.40176 =

1040176
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1040176 and 100000.

GCD(1040176, 100000) = 16

Divide both the numerator and denominator by the GCD:

1040176
100000

=

1040176 ÷ 16
100000 ÷ 16

=

65011
6250
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