Teresa finished her math test in 3/4 hour. Lamar finished his test in 2/3 hour. In how much less time did Lamar finish his test compared to Teresa?

Question

A.
1/3 hour less


B.
1/6 hour less


C.
1/4 hour less


D.
1/ 12 hour less

Answer 1

To find out how much less time Lamar took compared to Teresa, we need to subtract Lamar's time from Teresa's time.

Teresa's time: \( \frac{3}{4} \) hour
Lamar's time: \( \frac{2}{3} \) hour

First, we need a common denominator to perform the subtraction. The least common multiple of 4 and 3 is 12.

Now convert both times to have a denominator of 12:

• Teresa's time:
  \[ \frac{3}{4} = \frac{3 \times 3}{4 \times 3} = \frac{9}{12} \]

• Lamar's time:
  \[ \frac{2}{3} = \frac{2 \times 4}{3 \times 4} = \frac{8}{12} \]

Now we can subtract Lamar's time from Teresa's time:

\[ \frac{9}{12} - \frac{8}{12} = \frac{1}{12} \]

Thus, Lamar finished his test in \( \frac{1}{12} \) hour less than Teresa.

The answer is \( \text{D. } \frac{1}{12} \text{ hour less} \).