Question

Please write answers to the questions that are in the image.

Answer 1

Answer:

To find part A you need to find common denominator.

1/3 + 3/5=

5/15 + 9/15= 14/15

His mistake for a is that he didn't find the common denominator and that he just added the fraction as it is. So the corrected version would be 14/15.

To find part B you also need to find the least common denominator.

11/12-5/6=

11/12-10/12=1/12

His mistake was that he didn't find the least common denominator and he subtracted the fraction as it is. The answer corrected would be 1/12.

Step-by-step explanation:

Answer 2

Answer:

see explanation

Step-by-step explanation:

He has incorrectly added/ subtracted the numerators/ denominators directly

To add/ subtract fractions we require them to have a common denominator

(a)

$\frac{1}{3}$ + $\frac{3}{5}$

The lowest common multiple of 3 and 5 is 15

Change fractions to this denominator by multiplying numerator/denominator by the relevant value.

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

= $\frac{5}{15}$ + $\frac{9}{15}$

Now add the values on the numerators leaving the denominator

= $\frac{5+9}{15}$ = $\frac{14}{15}$

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(b)

$\frac{11}{12}$ - $\frac{5}{6}$

The lowest common multiple of 12 and 6 is 12

The first fraction already has a denominator of 12

Multiply the numerator/denominator of the second fraction by 2

= $\frac{11}{12}$ - $\frac{5(2)}{6(2)}$

= $\frac{11}{12}$ - $\frac{10}{12}$

= $\frac{11-10}{12}$ = $\frac{1}{12}$