Question

A) 3/5+4/15; b) 2/7+5/28; d) 3/22+6/11; g) 3/4+3/20.

Answer 1

A) 9/15+4/15=13/15 b) 8/28+5/28=13/28 d) 3/22+12/22=15/22 g) 15/20+3/20=18/20

Answer 2

Sure, I can help you with these arithmetic calculations. Let's solve each of these expressions step by step:

a) $\frac{3}{5} + \frac{4}{15}$: To add fractions, we need a common denominator. The least common multiple of 5 and 15 is 15. So, we'll convert the fractions to have a common denominator of 15.

$\frac{3}{5}$ is already over 15 as $\frac{3}{5} \times \frac{3}{3} = \frac{9}{15}$. $\frac{4}{15}$ remains the same.

Now we can add the fractions: $\frac{9}{15} + \frac{4}{15} = \frac{13}{15}$.

b) $\frac{2}{7} + \frac{5}{28}$: In this case, the least common multiple of 7 and 28 is 28. We'll convert the fractions to have a common denominator of 28.

$\frac{2}{7}$ is already over 28 as $\frac{2}{7} \times \frac{4}{4} = \frac{8}{28}$. $\frac{5}{28}$ remains the same.

Now we can add the fractions: $\frac{8}{28} + \frac{5}{28} = \frac{13}{28}$.

d) $\frac{3}{22} + \frac{6}{11}$: Here, the least common multiple of 22 and 11 is 22. We'll convert the fractions to have a common denominator of 22.

$\frac{3}{22}$ remains the same. $\frac{6}{11}$ is already over 22 as $\frac{6}{11} \times \frac{2}{2} = \frac{12}{22}$.

Now we can add the fractions: $\frac{3}{22} + \frac{12}{22} = \frac{15}{22}$.

g) $\frac{3}{4} + \frac{3}{20}$: In this case, the least common multiple of 4 and 20 is 20. We'll convert the fractions to have a common denominator of 20.

$\frac{3}{4}$ is already over 20 as $\frac{3}{4} \times \frac{5}{5} = \frac{15}{20}$. $\frac{3}{20}$ remains the same.

Now we can add the fractions: $\frac{15}{20} + \frac{3}{20} = \frac{18}{20}$, which can be simplified to $\frac{9}{10}$.

So, the results are: a) $\frac{13}{15}$ b) $\frac{13}{28}$ d) $\frac{15}{22}$ g) $\frac{9}{10}$