Question

A machine grinds 2/7 pounds of spices in 1/3 second. What is the machines rate in pounds per second of grinding spices

Answer 1

Well, if you know it grinds 2/7lbs of spices in 1/3 of a second, you need to find how many lbs it can grind in 1 second. You can do this by multiplying both sides by 3:

\[\frac{ 2 }{ 7 } = \frac{ 1 }{ 3 }\]
\[\frac{ 2 }{ 7 } \times 3 = \frac{ 6 }{ 7 }\]
\[\frac{ 1 }{ 3 } \times 3 = 1\]

Therefore,
\[\frac{ 6 }{ 7 } = 1\]

The machine grinds 6/7 lbs of spices per second.
Hope this helped!