Step by step
Step 1 of 2: Convert decimal to fraction.
Convert decimal to fraction
0.282 =
282 over 1000
282
1000
Step 2 of 2: Simplify.
Simplify
282 over 1000
282
1000
=
141 over 500
141
500
Step 2 of 2: Simplify, sub-step a: Reduce fraction to lowest terms.
Reduce fraction to lowest terms
282 over 1000
282
1000
=
( 282 ÷ 2 ) over ( 1000 ÷ 2 )
282 ÷ 2
1000 ÷ 2
=
141 over 500
141
500
2 is the greatest common divisor of 282 and 1000. Reduce by dividing both numerator and denominator by 2.