Question

It took zandro 1 2/3 of an hour to complete his math homework on tuesday,3/4 of an hour on Wednesday, and 5/6 of an hour on Thursday. How many hours did he take to complete his homework

Answer 1

Answer:

two hour and 55 minutes

Answer 2

Given:

Time taken by Zandro to complete his homework on Tuesday = $1\frac{2}{3}$ hour

Time taken complete on Wednesday = $\frac{3}{4}$ hour

Time taken to complete on Thursday = $\frac{5}{6}$ hour

To find:

Total time taken in hours to complete Zandro's homework

Solution:

Since, $1\frac{2}{3}$ is mixed fraction, we convert it into proper fraction.

$1\frac{2}{3} =\frac{(1*3)+2}{3}=\frac{5}{3}$

Total time taken by Zandro to complete his homework is obtained by adding all the values.

Total time $=\frac{5}{3} + \frac{3}{4}+\frac{5}{6}$

Since, the denominators are different, we cannot add up the fractions simply. For a common denominator, we take the LCM of all 3 denominators. LCM of 3,4,6 is 12.

Now, the common denominator is 12. Multiply denominator with a suitable number, so that the common denominator is 12. This suitable number is also multiplied with numerator.

$\frac{5}{3}=\frac{5}{3}*\frac{4}{4}=\frac{20}{12}$

$\\\frac{3}{4}=\frac{3}{4}*\frac{3}{3}=\frac{9}{12}$

$\\ \frac{5}{6}=\frac{5}{6}*\frac{2}{2}=\frac{10}{12}$

Now, add all the values to determine the total time.

Total time = $\frac{20}{12}+\frac{9}{12}+\frac{10}{12}=\frac{20+9+10}{12} =\frac{39}{12}$

We further simplify the answer, as the question also gives in simplified form.

$\frac{39}{12}=\frac{13}{4}$hours

Final Answer

Time taken by Zandro in hours to complete his homework is $\frac{13}{4}$ hours.