Converting 40.7848 to a Fraction
Step-by-step explanation of how to convert 40.7848 to a fraction

Result

40.7848 =
50981
1250
Mixed number:
40
981
1250

Step 1: Identify the number of decimal places

The decimal 40.7848 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

40.7848 × 10000 = 407848

Step 3: Write as a fraction

40.7848 =

407848
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 407848 and 10000.

GCD(407848, 10000) = 8

Divide both the numerator and denominator by the GCD:

407848
10000

=

407848 ÷ 8
10000 ÷ 8

=

50981
1250
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