Converting 37.7156 to a Fraction
Step-by-step explanation of how to convert 37.7156 to a fraction

Result

37.7156 =
94289
2500
Mixed number:
37
1789
2500

Step 1: Identify the number of decimal places

The decimal 37.7156 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

37.7156 × 10000 = 377156

Step 3: Write as a fraction

37.7156 =

377156
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 377156 and 10000.

GCD(377156, 10000) = 4

Divide both the numerator and denominator by the GCD:

377156
10000

=

377156 ÷ 4
10000 ÷ 4

=

94289
2500
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