Converting 1.415 to a Fraction
Step-by-step explanation of how to convert 1.415 to a fraction
Result
1.415 =
283
200
Mixed number:
1
83
200
Step 1: Identify the number of decimal places
The decimal 1.415 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
1.415 × 1000 = 1415
Step 3: Write as a fraction
1.415 =
1415
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 1415 and 1000.
GCD(1415, 1000) = 5
Divide both the numerator and denominator by the GCD:
1415
1000
=
1415 ÷ 5
1000 ÷ 5
=
283
200
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