Converting 37.8076 to a Fraction
Step-by-step explanation of how to convert 37.8076 to a fraction
Result
37.8076 =
94519
2500
Mixed number:
37
2019
2500
Step 1: Identify the number of decimal places
The decimal 37.8076 has 4 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 104 = 10000 to eliminate the decimal point.
37.8076 × 10000 = 378076
Step 3: Write as a fraction
37.8076 =
378076
10000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 378076 and 10000.
GCD(378076, 10000) = 4
Divide both the numerator and denominator by the GCD:
378076
10000
=
378076 ÷ 4
10000 ÷ 4
=
94519
2500
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