Converting 40.6 to a Fraction
Step-by-step explanation of how to convert 40.6 to a fraction

Result

40.6 =
203
5
Mixed number:
40
3
5

Step 1: Identify the number of decimal places

The decimal 40.6 has 1 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 101 = 10 to eliminate the decimal point.

40.6 × 10 = 406

Step 3: Write as a fraction

40.6 =

406
10

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 406 and 10.

GCD(406, 10) = 2

Divide both the numerator and denominator by the GCD:

406
10

=

406 ÷ 2
10 ÷ 2

=

203
5
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