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ext{-} $3$ / $4$ + $5$ / $3$ ext{➗} $1$ / $2$

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Add and subtract rational numbers

Full solution

Q. ext{-}

3

/

4

+

5

/

3

ext{➗}

1

/

2

Add Fractions with Common Denominator: First, let's add $\frac{5}{3}$ and $\frac{1}{2}$ . We need a common denominator, which is $6$ . So, $\frac{5}{3}$ becomes $\frac{10}{6}$ and $\frac{1}{2}$ becomes $\frac{3}{6}$ . Now, add them up: $\frac{10}{6} + \frac{3}{6} = \frac{13}{6}$ .
Subtract Fractions with Common Denominator: Next, we subtract $\frac{3}{4}$ from $\frac{13}{6}$ . But first, we need a common denominator again, which is $12$ . So, $\frac{13}{6}$ becomes $\frac{26}{12}$ and $\frac{3}{4}$ becomes $\frac{9}{12}$ . Now, subtract: $\frac{26}{12} - \frac{9}{12} = \frac{17}{12}$ .

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