Question

A log splitter can split 6/5 cords of wood in 4/5 of an hour. Complete the unit rate by setting up a complex fraction and simplifying

Answer 1

Answer:

1½ cords per hour

Step-by-step explanation:

A log splitter can split 6/5 cords of wood in 4/5 of an hour.

To find a unit rate, we divide the quantity of cords of wood by the time.

This gives us the complex fraction.

$\frac{ \frac{6}{5} }{ \frac{4}{5} }$

This is the same as

$\frac{6}{5} \div \frac{4}{5}$

To divide two fractions, we multiply by the reciprocal of the second fraction.

$\frac{6}{5} \times \frac{5}{4}$

$\frac{3}{1} \times \frac{1}{2}$

This simplifies to:

$\frac{3}{2} = 1 \frac{1}{2}$

The unit rate is 1.5 cords per hour