Converting 37.4312 to a Fraction
Step-by-step explanation of how to convert 37.4312 to a fraction

Result

37.4312 =
46789
1250
Mixed number:
37
539
1250

Step 1: Identify the number of decimal places

The decimal 37.4312 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

37.4312 × 10000 = 374312

Step 3: Write as a fraction

37.4312 =

374312
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 374312 and 10000.

GCD(374312, 10000) = 8

Divide both the numerator and denominator by the GCD:

374312
10000

=

374312 ÷ 8
10000 ÷ 8

=

46789
1250
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