Converting 1.409625 to a Fraction
Step-by-step explanation of how to convert 1.409625 to a fraction
Result
1.409625 =
11277
8000
Mixed number:
1
3277
8000
Step 1: Identify the number of decimal places
The decimal 1.409625 has 6 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 106 = 1000000 to eliminate the decimal point.
1.409625 × 1000000 = 1409625
Step 3: Write as a fraction
1.409625 =
1409625
1000000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 1409625 and 1000000.
GCD(1409625, 1000000) = 125
Divide both the numerator and denominator by the GCD:
1409625
1000000
=
1409625 ÷ 125
1000000 ÷ 125
=
11277
8000
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