Converting 35.7524 to a Fraction
Step-by-step explanation of how to convert 35.7524 to a fraction

Result

35.7524 =
89381
2500
Mixed number:
35
1881
2500

Step 1: Identify the number of decimal places

The decimal 35.7524 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

35.7524 × 10000 = 357524

Step 3: Write as a fraction

35.7524 =

357524
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 357524 and 10000.

GCD(357524, 10000) = 4

Divide both the numerator and denominator by the GCD:

357524
10000

=

357524 ÷ 4
10000 ÷ 4

=

89381
2500
Related Conversions
Other decimal to fraction conversions you might find useful