Converting 3.1524 to a Fraction
Step-by-step explanation of how to convert 3.1524 to a fraction
Result
3.1524 =
7881
2500
Mixed number:
3
381
2500
Step 1: Identify the number of decimal places
The decimal 3.1524 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
3.1524 × 10000 = 31524
Step 3: Write as a fraction
3.1524 =
31524
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 31524 and 10000.
GCD(31524, 10000) = 4
Divide both the numerator and denominator by the GCD:
31524
10000
=
31524 ÷ 4
10000 ÷ 4
=
7881
2500
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