Converting 0.538 to a Fraction
Step-by-step explanation of how to convert 0.538 to a fraction
Result
0.538 =
269
500
Step 1: Identify the number of decimal places
The decimal 0.538 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
0.538 × 1000 = 538
Step 3: Write as a fraction
0.538 =
538
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 538 and 1000.
GCD(538, 1000) = 2
Divide both the numerator and denominator by the GCD:
538
1000
=
538 ÷ 2
1000 ÷ 2
=
269
500
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