Converting 40.3172 to a Fraction
Step-by-step explanation of how to convert 40.3172 to a fraction

Result

40.3172 =
100793
2500
Mixed number:
40
793
2500

Step 1: Identify the number of decimal places

The decimal 40.3172 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

40.3172 × 10000 = 403172

Step 3: Write as a fraction

40.3172 =

403172
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 403172 and 10000.

GCD(403172, 10000) = 4

Divide both the numerator and denominator by the GCD:

403172
10000

=

403172 ÷ 4
10000 ÷ 4

=

100793
2500
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