Simplify frac{2 frac{1}{7}-2 frac{1}{2}}{2 fr | vedclass

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Question

(D) Step $1$: Simplify the numerator of the first fraction: $2 \frac{1}{7} - 2 \frac{1}{2} = \frac{15}{7} - \frac{5}{2} = \frac{30-35}{14} = \frac{-5}

Vedclass · Accepted Answer

$\frac{-1}{4}$

Vedclass · Answer

(D) Step $1$: Simplify the numerator of the first fraction: $2 \frac{1}{7} - 2 \frac{1}{2} = \frac{15}{7} - \frac{5}{2} = \frac{30-35}{14} = \frac{-5}{14}$.Step $2$: Simplify the denominator of the first fraction: $2 \frac{1}{4} + 1 \frac{1}{7} = \frac{9}{4} + \frac{8}{7} = \frac{63+32}{28} = \frac{95}{28}$.Step $3$: Divide the results: $\frac{-5}{14} \div \frac{95}{28} = \frac{-5}{14} 	imes \frac{28}{95} = \frac{-1}{1} 	imes \frac{2}{19} = \frac{-2}{19}$.Step $4$: Simplify the second part: $2 - \frac{1}{2} = \frac{3}{2}$.Then,$2 + \frac{1}{3/2} = 2 + \frac{2}{3} = \frac{8}{3}$.Then,$2 + \frac{1}{8/3} = 2 + \frac{3}{8} = \frac{19}{8}$.So,the second part is $\frac{1}{19/8} = \frac{8}{19}$.Step $5$: Perform the final division: $\frac{-2}{19} \div \frac{8}{19} = \frac{-2}{19} 	imes \frac{19}{8} = \frac{-2}{8} = \frac{-1}{4}$.

Simplify $\frac{2 \frac{1}{7}-2 \frac{1}{2}}{2 \frac{1}{4}+1 \frac{1}{7}} \div \frac{1}{2+\frac{1}{2+\frac{1}{2-\frac{1}{2}}}}$

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