Converting 40.7608 to a Fraction
Step-by-step explanation of how to convert 40.7608 to a fraction

Result

40.7608 =
50951
1250
Mixed number:
40
951
1250

Step 1: Identify the number of decimal places

The decimal 40.7608 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

40.7608 × 10000 = 407608

Step 3: Write as a fraction

40.7608 =

407608
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 407608 and 10000.

GCD(407608, 10000) = 8

Divide both the numerator and denominator by the GCD:

407608
10000

=

407608 ÷ 8
10000 ÷ 8

=

50951
1250
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