frac{16}{24} + frac{4}{10} - frac{1}{6} = ? | vedclass

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Question

(A) First,simplify the fractions where possible: $\frac{16}{24} = \frac{2}{3}$.Now the expression is $\frac{2}{3} + \frac{4}{10} - \frac{1}{6}$.Simpli

Vedclass · Accepted Answer

$\frac{9}{10}$

Vedclass · Answer

(A) First,simplify the fractions where possible: $\frac{16}{24} = \frac{2}{3}$.Now the expression is $\frac{2}{3} + \frac{4}{10} - \frac{1}{6}$.Simplify $\frac{4}{10}$ to $\frac{2}{5}$.So,the expression becomes $\frac{2}{3} + \frac{2}{5} - \frac{1}{6}$.The least common multiple $(LCM)$ of $3, 5,$ and $6$ is $30$.Convert each fraction to have a denominator of $30$:$\frac{2 	imes 10}{3 	imes 10} + \frac{2 	imes 6}{5 	imes 6} - \frac{1 	imes 5}{6 	imes 5} = \frac{20}{30} + \frac{12}{30} - \frac{5}{30}$.Combine the numerators: $\frac{20 + 12 - 5}{30} = \frac{27}{30}$.Simplify the fraction by dividing by $3$: $\frac{27 \div 3}{30 \div 3} = \frac{9}{10}$.

$\frac{16}{24} + \frac{4}{10} - \frac{1}{6} = ?$

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