It makes 3/4 of an hour for an automated sprinkler to cover 2/7 of a lawn.After an hour has passed ,what fraction of a lawn has been covered

2 answers

(3/4)/(2/7) = 1/x

(3/4)x = (2/7)

x = (2/7) / (3/4)

x = (2/7) * (4/3)

x = 8/21
1 hour is 4/3 as much as 3/4, so it will have covered 4/3 * 2/7 = 8/21 of the lawn.

or, using a ratio,

1/(3/4) = x/(2/7)