Converting 8.415 to a Fraction
Step-by-step explanation of how to convert 8.415 to a fraction
Result
8.415 =
1683
200
Mixed number:
8
83
200
Step 1: Identify the number of decimal places
The decimal 8.415 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
8.415 × 1000 = 8415
Step 3: Write as a fraction
8.415 =
8415
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 8415 and 1000.
GCD(8415, 1000) = 5
Divide both the numerator and denominator by the GCD:
8415
1000
=
8415 ÷ 5
1000 ÷ 5
=
1683
200
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