Converting 40.968 to a Fraction
Step-by-step explanation of how to convert 40.968 to a fraction

Result

40.968 =
5121
125
Mixed number:
40
121
125

Step 1: Identify the number of decimal places

The decimal 40.968 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

40.968 × 1000 = 40968

Step 3: Write as a fraction

40.968 =

40968
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 40968 and 1000.

GCD(40968, 1000) = 8

Divide both the numerator and denominator by the GCD:

40968
1000

=

40968 ÷ 8
1000 ÷ 8

=

5121
125
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