Question

ANSWER IN DETAIL FORM STEP BY STEP

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Answer 1

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$\huge \frak \red{Answer}$

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$\qquad : \implies{2 \dfrac{19}{24} }$

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$\frak \green{Explanation}$

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First we will convert the mixed number into improper fraction.

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multiply the denominator with the whole number then add 3 to the product.

$\quad \rightarrow{7 \dfrac{3}{4} } = \dfrac{31}{4}$

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Same with the second mixed number.

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$\quad \rightarrow{3 \dfrac{5}{6} = \dfrac{35}{6} }$

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Now find the LCM of 4,6 & 8.

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The LCM of 4,6 & 8 is 24.

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then divide the present denominator with 24.

» 24 ÷ 4 = 6

» So now multiply the first fraction with 6 and do the same for each.

Which would be like this ↓

$: \implies{ \frac{(31 \times 6) - (35 \times 4) + (7 \times 3)}{24} }$

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Now multiply the numbers in the numerator ↓

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$: \implies{ \dfrac{186 - 140 + 21}{24} }$

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Now subtract 186-140 ↓

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$: \implies{ \dfrac{46 + 21}{24} }$

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now add it

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$: \implies{ \dfrac{67}{24} }$

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Now the fraction is improper so we have to make it into mixed number.

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$: \implies{2 \dfrac{19}{24} }$

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Answer 2

Answer:

$\implies2 \frac{19}{24}$