Converting 0.284 to a Fraction
Step-by-step explanation of how to convert 0.284 to a fraction

Result

0.284 =
71
250

Step 1: Identify the number of decimal places

The decimal 0.284 has 3 decimal places.

Step 2: Multiply by the appropriate power of 10

Multiply by 103 = 1000 to eliminate the decimal point.

0.284 × 1000 = 284

Step 3: Write as a fraction

0.284 =

284
1000

Step 4: Simplify the fraction

Find the greatest common divisor (GCD) of 284 and 1000.

GCD(284, 1000) = 4

Divide both the numerator and denominator by the GCD:

284
1000

=

284 ÷ 4
1000 ÷ 4

=

71
250
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