Question #7ce00

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Question #7ce00

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Answer 1 · 2018-01-09T00:47:13

$9 \frac{3}{14}$ $9 3/14$ hours

Explanation:

Reading hours on Monday = $2 \frac{4}{8}$ $2 4/8$ hours = $\frac{20}{8}$ $20/8$ hours

Reading hours on Tuesday = $6 \frac{5}{7}$ $6 5/7$ hours = $\frac{47}{7}$ $47/7$ hours

Mixed numbers need to be converted to proper fraction to do any mathematical calculations.

Therefore, total hours read = $\frac{20}{8}$ $20/8$ + $\frac{47}{7}$ $47/7$

It can be noted that the denominators of both fractions are different, so they cannot be directly added. To add (or subtract) them the denominators have to be same.

To make the denominators same, find the LCM of $8$ $8$ and $7$ $7$

The LCM is $8 \times 7$ $8xx7$ = $56$ $56$

Therefore, $\frac{20}{8}$ $20/8$ + $\frac{47}{7}$ $47/7$ = $\frac{20 \times 7 + 47 \times 8}{56}$ $(20xx7 + 47xx8)/56$ = $\frac{140 + 376}{56}$ $(140+376)/56$

which is, $\frac{516}{56}$ $516/56$ hours.

To convert to mixed number, first simply the fraction.

So, $\frac{516}{56}$ $516/56$ = $cancel516^129/cancel56^14$ = $129/14$ = $9 3/14$ hours

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