Question

5/3+13/3+7/3+3/3+1/3​

Answer 1

$\huge\sf{\texttt{{{Required Answer:}}}}$

Given ☆

5/3 + 13/3 +7/3 + 3/3 + 1/3

What to do? ☆

Add the like fractions

Solution ☆

$\sf\dfrac{5}{3} \: + \sf\dfrac{13}{3} \: + \sf\dfrac{7}{3} \: + \sf\dfrac{3}{3} \: + \sf\dfrac{1}{3} \: = \: \sf\dfrac{29}{3} = \: \sf{9 \dfrac{2}{3}}$

Know more! ☆

Fractions having the same denominators are known as Like Fractions. Some examples of Like Fractions are, 5/7, 8/7, 9/7 and 6/7. It is very easy to compare, add or subtract like fractions as they all have the same denominators. What we have to do is just compare, add or subtract the numerators, because as the denominators are same, we'll just ignore them. Therefore, we can say that in like fractions, we only have to compare, add or subtract the numerators. Have a look at these examples :-

Example 1 :

Compare the fractions 5/8 and 3/8

Solution :

Here, the denominators are same

Numerator 5 > 3, so 5/8 > 3/8

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Example 2 :

Add the fractions 4/6 and 2/6

Solution :

Here, the denominators are same

4/6 + 2/6 = 5/6

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Example 3 :

Subtract the fractions 20/10 and 5/10

Solution :

Here, the denominators are same

20/10 - 5/10 = 15/10

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Answer 2

$= \frac{5}{ 3} + \frac{13}{3} + \frac{7}{3} + \frac{3}{3} + \frac{1}{3} \: \: \: \\ \\ = \frac{5 + 13 + 7 + 3 + 1}{3} \: \: \: \: \: \: \\ \\ = \frac{29}{3} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$