Converting 10.7405 to a Fraction
Step-by-step explanation of how to convert 10.7405 to a fraction

Result

10.7405 =
21481
2000
Mixed number:
10
1481
2000

Step 1: Identify the number of decimal places

The decimal 10.7405 has 4 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 104 = 10000 to eliminate the decimal point.

10.7405 × 10000 = 107405

Step 3: Write as a fraction

10.7405 =

107405
10000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 107405 and 10000.

GCD(107405, 10000) = 5

Divide both the numerator and denominator by the GCD:

107405
10000

=

107405 ÷ 5
10000 ÷ 5

=

21481
2000
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