Converting 10.7415 to a Fraction
Step-by-step explanation of how to convert 10.7415 to a fraction

Result

10.7415 =
21483
2000
Mixed number:
10
1483
2000

Step 1: Identify the number of decimal places

The decimal 10.7415 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

10.7415 × 10000 = 107415

Step 3: Write as a fraction

10.7415 =

107415
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 107415 and 10000.

GCD(107415, 10000) = 5

Divide both the numerator and denominator by the GCD:

107415
10000

=

107415 ÷ 5
10000 ÷ 5

=

21483
2000
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