Converting 46.3524 to a Fraction
Step-by-step explanation of how to convert 46.3524 to a fraction

Result

46.3524 =
115881
2500
Mixed number:
46
881
2500

Step 1: Identify the number of decimal places

The decimal 46.3524 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

46.3524 × 10000 = 463524

Step 3: Write as a fraction

46.3524 =

463524
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 463524 and 10000.

GCD(463524, 10000) = 4

Divide both the numerator and denominator by the GCD:

463524
10000

=

463524 ÷ 4
10000 ÷ 4

=

115881
2500
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