Converting 1.405 to a Fraction
Step-by-step explanation of how to convert 1.405 to a fraction
Result
1.405 =
281
200
Mixed number:
1
81
200
Step 1: Identify the number of decimal places
The decimal 1.405 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
1.405 × 1000 = 1405
Step 3: Write as a fraction
1.405 =
1405
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 1405 and 1000.
GCD(1405, 1000) = 5
Divide both the numerator and denominator by the GCD:
1405
1000
=
1405 ÷ 5
1000 ÷ 5
=
281
200
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