Converting 30.86 to a Fraction
Step-by-step explanation of how to convert 30.86 to a fraction

Result

30.86 =
1543
50
Mixed number:
30
43
50

Step 1: Identify the number of decimal places

The decimal 30.86 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

30.86 × 100 = 3086

Step 3: Write as a fraction

30.86 =

3086
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 3086 and 100.

GCD(3086, 100) = 2

Divide both the numerator and denominator by the GCD:

3086
100

=

3086 ÷ 2
100 ÷ 2

=

1543
50
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