Richard mows 1/3 of his yard in 1/2 hour. how much of his yard would richard mow in 1 hour?

I hope this helps you

if he mows 1/3 yard in 1/2 hour

? yard in 1 hour

?.1/2=1.1/3

?=2/3 yard in 1 hour

1/3 yard = 1/2 hr
  x  yard =  1 hr 

Okay, so if 1/3 of his yard is mowed in half an hour, "x" of his yard is mowed in an hour. 
1/3 yard is to 1/2 hr as "x" yard is to 1 hr 

Solve by cross multiplying: 
1/2x = 1/3 *1 
1/2x = 1/3
(divide both sides by 1/2) 
2/3 

Richard can mow 2/3 of his yard in one hour.

You can also figure this out by just realizing that 1/2 hr multiplied by 2 would give you 1 hr and then multiply 1/3 by 2 but it's good to get into the habit of solving things algebraically (or so I've been told).