Converting 1.584 to a Fraction
Step-by-step explanation of how to convert 1.584 to a fraction
Result
1.584 =
198
125
Mixed number:
1
73
125
Step 1: Identify the number of decimal places
The decimal 1.584 has 3 decimal places.
Step 2: Multiply by the appropriate power of 10
Multiply by 103 = 1000 to eliminate the decimal point.
1.584 × 1000 = 1584
Step 3: Write as a fraction
1.584 =
1584
1000
Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 1584 and 1000.
GCD(1584, 1000) = 8
Divide both the numerator and denominator by the GCD:
1584
1000
=
1584 ÷ 8
1000 ÷ 8
=
198
125
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