Question

Ravi studies for $5\frac23$hours every day. He spends $2\frac45$ hours of his time on science and math. How much time does he spend on other subjects?

• A. $$2\frac{11}{15}$$
• B. $$3\frac{13}{15}$$
• C. $$3\frac{11}{15}$$
• D. $$2\frac{13}{15}$$

Answer 1

Answer:

$$2\frac{13}{15}$$

Ravi spends $2\frac{13}{15}$ hours (or 2 hours and 52 minutes) on other subjects.

1. Total study time = $5\frac{2}{3}$ hours = $\frac{17}{3}$ hours

2. Time spent on Science & Math = $2\frac{4}{5}$ hours = $\frac{14}{5}$ hours

3. Time spent on other subjects = Total time − Science & Math time

$\text{Time} = \frac{17}{3} - \frac{14}{5}$

To subtract these fractions, find a common denominator (which is $3 \times 5 = 15$):

• $\frac{17 \times 5}{3 \times 5} = \frac{85}{15}$

• $\frac{14 \times 3}{5 \times 3} = \frac{42}{15}$

Now, subtract the numerators:
$\frac{85}{15} - \frac{42}{15} = \frac{43}{15}$

Convert the improper fraction back into a mixed number:

• $43 \div 15 = 2$ with a remainder of $13$.

So, the time spent on other subjects is $2\frac{13}{15}$ hours.