Converting 7.40415 to a Fraction
Step-by-step explanation of how to convert 7.40415 to a fraction

Result

7.40415 =
148083
20000
Mixed number:
7
8083
20000

Step 1: Identify the number of decimal places

The decimal 7.40415 has 5 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 105 = 100000 to eliminate the decimal point.

7.40415 × 100000 = 740415

Step 3: Write as a fraction

7.40415 =

740415
100000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 740415 and 100000.

GCD(740415, 100000) = 5

Divide both the numerator and denominator by the GCD:

740415
100000

=

740415 ÷ 5
100000 ÷ 5

=

148083
20000
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