Converting 40.676 to a Fraction
Step-by-step explanation of how to convert 40.676 to a fraction

Result

40.676 =
10169
250
Mixed number:
40
169
250

Step 1: Identify the number of decimal places

The decimal 40.676 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

40.676 × 1000 = 40676

Step 3: Write as a fraction

40.676 =

40676
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 40676 and 1000.

GCD(40676, 1000) = 4

Divide both the numerator and denominator by the GCD:

40676
1000

=

40676 ÷ 4
1000 ÷ 4

=

10169
250
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