Converting 31.1 to a Fraction
Step-by-step explanation of how to convert 31.1 to a fraction

Result

31.1 =
311
10
Mixed number:
31
1
10

Step 1: Identify the number of decimal places

The decimal 31.1 has 1 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 101 = 10 to eliminate the decimal point.

31.1 × 10 = 311

Step 3: Write as a fraction

31.1 =

311
10

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 311 and 10.

GCD(311, 10) = 1

Divide both the numerator and denominator by the GCD:

311
10

=

311 ÷ 1
10 ÷ 1

=

311
10
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