Converting 37.1176 to a Fraction
Step-by-step explanation of how to convert 37.1176 to a fraction
Result
37.1176 =
46397
1250
Mixed number:
37
147
1250
Step 1: Identify the number of decimal places
The decimal 37.1176 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
37.1176 × 10000 = 371176
Step 3: Write as a fraction
37.1176 =
371176
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 371176 and 10000.
GCD(371176, 10000) = 8
Divide both the numerator and denominator by the GCD:
371176
10000
=
371176 ÷ 8
10000 ÷ 8
=
46397
1250
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