Converting 3.7356 to a Fraction
Step-by-step explanation of how to convert 3.7356 to a fraction

Result

3.7356 =
9339
2500
Mixed number:
3
1839
2500

Step 1: Identify the number of decimal places

The decimal 3.7356 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

3.7356 × 10000 = 37356

Step 3: Write as a fraction

3.7356 =

37356
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 37356 and 10000.

GCD(37356, 10000) = 4

Divide both the numerator and denominator by the GCD:

37356
10000

=

37356 ÷ 4
10000 ÷ 4

=

9339
2500
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