Julio had 1000 sq. ft. of living space. Then he added a room that was 20 ft. by 10 ft. What was the fractional increase of living space

Question

Julio had 1000 sq. ft. of living space. Then he added a room that was 20 ft. by 10 ft. What was the fractional increase of living space

Answer 1

The floor area of the new room is (20 ft)(10 ft) = 200 ft². The amount of increase (200) is the numerator, and the original area of 1000 is the denominator. So the fraction 200/1000 reduces to 1/5. So it increased by a factor of 1/5.