Converting 10.70814 to a Fraction
Step-by-step explanation of how to convert 10.70814 to a fraction

Result

10.70814 =
535407
50000
Mixed number:
10
35407
50000

Step 1: Identify the number of decimal places

The decimal 10.70814 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

10.70814 × 100000 = 1070814

Step 3: Write as a fraction

10.70814 =

1070814
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 1070814 and 100000.

GCD(1070814, 100000) = 2

Divide both the numerator and denominator by the GCD:

1070814
100000

=

1070814 ÷ 2
100000 ÷ 2

=

535407
50000
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