Converting 31.4302 to a Fraction
Step-by-step explanation of how to convert 31.4302 to a fraction

Result

31.4302 =
157151
5000
Mixed number:
31
2151
5000

Step 1: Identify the number of decimal places

The decimal 31.4302 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

31.4302 × 10000 = 314302

Step 3: Write as a fraction

31.4302 =

314302
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 314302 and 10000.

GCD(314302, 10000) = 2

Divide both the numerator and denominator by the GCD:

314302
10000

=

314302 ÷ 2
10000 ÷ 2

=

157151
5000
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