Converting 10.76138 to a Fraction
Step-by-step explanation of how to convert 10.76138 to a fraction

Result

10.76138 =
538069
50000
Mixed number:
10
38069
50000

Step 1: Identify the number of decimal places

The decimal 10.76138 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

10.76138 × 100000 = 1076138

Step 3: Write as a fraction

10.76138 =

1076138
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1076138 and 100000.

GCD(1076138, 100000) = 2

Divide both the numerator and denominator by the GCD:

1076138
100000

=

1076138 ÷ 2
100000 ÷ 2

=

538069
50000
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