Converting 10.07792 to a Fraction
Step-by-step explanation of how to convert 10.07792 to a fraction

Result

10.07792 =
62987
6250
Mixed number:
10
487
6250

Step 1: Identify the number of decimal places

The decimal 10.07792 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

10.07792 × 100000 = 1007792

Step 3: Write as a fraction

10.07792 =

1007792
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1007792 and 100000.

GCD(1007792, 100000) = 16

Divide both the numerator and denominator by the GCD:

1007792
100000

=

1007792 ÷ 16
100000 ÷ 16

=

62987
6250
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