Converting 0.287744 to a Fraction
Step-by-step explanation of how to convert 0.287744 to a fraction
Result
0.287744 =
4496
15625
Step 1: Identify the number of decimal places
The decimal 0.287744 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
0.287744 × 1000000 = 287744
Step 3: Write as a fraction
0.287744 =
287744
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 287744 and 1000000.
GCD(287744, 1000000) = 64
Divide both the numerator and denominator by the GCD:
287744
1000000
=
287744 ÷ 64
1000000 ÷ 64
=
4496
15625
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