Converting 40.14 to a Fraction
Step-by-step explanation of how to convert 40.14 to a fraction

Result

40.14 =
2007
50
Mixed number:
40
7
50

Step 1: Identify the number of decimal places

The decimal 40.14 has 2 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 102 = 100 to eliminate the decimal point.

40.14 × 100 = 4014

Step 3: Write as a fraction

40.14 =

4014
100

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 4014 and 100.

GCD(4014, 100) = 2

Divide both the numerator and denominator by the GCD:

4014
100

=

4014 ÷ 2
100 ÷ 2

=

2007
50
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