Converting 47.8 to a Fraction
Step-by-step explanation of how to convert 47.8 to a fraction

Result

47.8 =
239
5
Mixed number:
47
4
5

Step 1: Identify the number of decimal places

The decimal 47.8 has 1 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 101 = 10 to eliminate the decimal point.

47.8 × 10 = 478

Step 3: Write as a fraction

47.8 =

478
10

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 478 and 10.

GCD(478, 10) = 2

Divide both the numerator and denominator by the GCD:

478
10

=

478 ÷ 2
10 ÷ 2

=

239
5
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