Converting 8.141824 to a Fraction
Step-by-step explanation of how to convert 8.141824 to a fraction

Result

8.141824 =
127216
15625
Mixed number:
8
2216
15625

Step 1: Identify the number of decimal places

The decimal 8.141824 has 6 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 106 = 1000000 to eliminate the decimal point.

8.141824 × 1000000 = 8141824

Step 3: Write as a fraction

8.141824 =

8141824
1000000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 8141824 and 1000000.

GCD(8141824, 1000000) = 64

Divide both the numerator and denominator by the GCD:

8141824
1000000

=

8141824 ÷ 64
1000000 ÷ 64

=

127216
15625
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