Question

To help answer this question, Deigo wrote the division equation 3/4 divided by 2/5. Explain why this equation does not represent the situation. This is the situation After raining for 3/4 of an hour, a rain gauge is 2/5 filled. If it continues to rain at that rate at that rate for 15 more minutes, what fraction of the rain will be filled.

Answer 1

Answer:

The fraction of the rain filled in the gauge will be =  $\frac{8}{15}$

Diego wrote the division equation incorrectly.

It must be given as $\frac{2}{5}$ divided by $\frac{3}{4}$ .

Step-by-step explanation:

Given:

After $\frac{3}{4}$ of an hour of rain the rain gauge is $\frac{2}{5}$ filed.

To find the fraction of the rain that will be filled in the gauge if it continues to rain at the same rate for 15 more minutes.

Solution:

15 minutes in hours will be = $15\ min \times \frac{1\ hour}{60\ min}$ = $\frac{1}{4}$ of an hour.

Given that it has rained for $\frac{3}{4}$ of an hour, and it continues to rain for  $\frac{1}{4}$ of an hour more.

Thus, total time of rain will be = $\frac{3}{4}+\frac{1}{4}=\frac{4}{4}=1\ hour$

Using unitary method to find the fraction of rain filled in the gauge after 1 hour of rain.

If in  $\frac{3}{4}$ of an hour of rain the rain gauge is $\frac{2}{5}$ filed.

Thus, in 1 hour of rain the gauge will be filled by = $\frac{2}{5}\div \frac{3}{4}$

To divide fractions, we take reciprocal of the divisor and replace division by multiplication.

⇒ $\frac{2}{5}\times\frac{4}{3}$

⇒ $\frac{8}{15}$

Thus, the fraction of the rain filled in the gauge will be =  $\frac{8}{15}$

Diego wrote the division equation incorrectly.

It must be given as $\frac{2}{5}$ divided by $\frac{3}{4}$ .