12 frac{1}{3} + 10 frac{5}{6} - 7 frac{2}{3} | vedclass

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Question

(A) To solve the expression $12 \frac{1}{3} + 10 \frac{5}{6} - 7 \frac{2}{3} - 1 \frac{4}{7}$,we separate the whole numbers and the fractions.Step $1$

Vedclass · Accepted Answer

$13 \frac{13}{14}$

Vedclass · Answer

(A) To solve the expression $12 \frac{1}{3} + 10 \frac{5}{6} - 7 \frac{2}{3} - 1 \frac{4}{7}$,we separate the whole numbers and the fractions.Step $1$: Separate the whole numbers and fractions:$= (12 + 10 - 7 - 1) + (\frac{1}{3} + \frac{5}{6} - \frac{2}{3} - \frac{4}{7})$Step $2$: Calculate the sum of the whole numbers:$= 14 + (\frac{1}{3} + \frac{5}{6} - \frac{2}{3} - \frac{4}{7})$Step $3$: Find a common denominator for the fractions $(3, 6, 7)$. The least common multiple is $42$:$= 14 + (\frac{14}{42} + \frac{35}{42} - \frac{28}{42} - \frac{24}{42})$Step $4$: Simplify the fraction part:$= 14 + (\frac{14 + 35 - 28 - 24}{42}) = 14 + (\frac{-3}{42})$Step $5$: Final calculation:$= 14 - \frac{1}{14} = 13 + (1 - \frac{1}{14}) = 13 \frac{13}{14}$

$12 \frac{1}{3} + 10 \frac{5}{6} - 7 \frac{2}{3} - 1 \frac{4}{7} = ?$

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