Converting 0.01415 to a Fraction
Step-by-step explanation of how to convert 0.01415 to a fraction
Result
0.01415 =
283
20000
Step 1: Identify the number of decimal places
The decimal 0.01415 has 5 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 105 = 100000 to eliminate the decimal point.
0.01415 × 100000 = 1415
Step 3: Write as a fraction
0.01415 =
1415
100000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 1415 and 100000.
GCD(1415, 100000) = 5
Divide both the numerator and denominator by the GCD:
1415
100000
=
1415 ÷ 5
100000 ÷ 5
=
283
20000
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