Converting 38.70784 to a Fraction
Step-by-step explanation of how to convert 38.70784 to a fraction

Result

38.70784 =
120962
3125
Mixed number:
38
2212
3125

Step 1: Identify the number of decimal places

The decimal 38.70784 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

38.70784 × 100000 = 3870784

Step 3: Write as a fraction

38.70784 =

3870784
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3870784 and 100000.

GCD(3870784, 100000) = 32

Divide both the numerator and denominator by the GCD:

3870784
100000

=

3870784 ÷ 32
100000 ÷ 32

=

120962
3125
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