Converting 10.069824 to a Fraction
Step-by-step explanation of how to convert 10.069824 to a fraction

Result

10.069824 =
157341
15625
Mixed number:
10
1091
15625

Step 1: Identify the number of decimal places

The decimal 10.069824 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

10.069824 × 1000000 = 10069824

Step 3: Write as a fraction

10.069824 =

10069824
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 10069824 and 1000000.

GCD(10069824, 1000000) = 64

Divide both the numerator and denominator by the GCD:

10069824
1000000

=

10069824 ÷ 64
1000000 ÷ 64

=

157341
15625
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