Question

During the mayoral election,two debates were held between the candidates. The first debate lasted 1 2/3 hours.The second one was 1 4/5 times as long as the first one. How long was the second debate? Estimate the product. Then find the actual product

Answer 1

Answer:

2nd debate was 3 hours long.

Step-by-step explanation:

We have been given that during the mayoral election,two debates were held between the candidates. The first debate lasted 1 2/3 hours. The second one was 1 4/5 times as long as the first one.

Let us find the estimate of time spent on 2nd debate.

1 2/3 hours would be approximately 2 hours. 1 4/5 times would be equal to 2 times.

$2*2=4$

Therefore, the estimated time is less 4 hours.

To find the time spent on 2nd debate, we will multiply 1 2/3 by 1 4/5.

First of all, we will convert mixed fractions into improper fractions as:

$1\frac{2}{3}=\frac{5}{3}$

$1\frac{4}{5}=\frac{9}{5}$

Now, we will multiply both fractions as:

$\frac{5}{3}\times \frac{9}{5}$

$\frac{1}{3}\times \frac{9}{1}$

$\frac{9}{3}\Rightarrow 3$

Therefore, the 2nd debate was 3 hours long.