Converting 38.7 to a Fraction
Step-by-step explanation of how to convert 38.7 to a fraction

Result

38.7 =
387
10
Mixed number:
38
7
10

Step 1: Identify the number of decimal places

The decimal 38.7 has 1 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 101 = 10 to eliminate the decimal point.

38.7 × 10 = 387

Step 3: Write as a fraction

38.7 =

387
10

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 387 and 10.

GCD(387, 10) = 1

Divide both the numerator and denominator by the GCD:

387
10

=

387 ÷ 1
10 ÷ 1

=

387
10
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