Converting 35.7152 to a Fraction
Step-by-step explanation of how to convert 35.7152 to a fraction

Result

35.7152 =
22322
625
Mixed number:
35
447
625

Step 1: Identify the number of decimal places

The decimal 35.7152 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

35.7152 × 10000 = 357152

Step 3: Write as a fraction

35.7152 =

357152
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 357152 and 10000.

GCD(357152, 10000) = 16

Divide both the numerator and denominator by the GCD:

357152
10000

=

357152 ÷ 16
10000 ÷ 16

=

22322
625
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