Question

Q:-solve and verify the equation
$\frac{2}{3} + p = \frac{4}{7}$

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Answer 1

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$\red{\bold{\underline{\underline{QUESTION:-}}}}$

Q:-solve and verify the equation

$\frac{2}{3} + p = \frac{4}{7}$

$\huge\tt\underline\blue{Answer }$

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$⟹ \frac{2}{3} + p = \frac{4}{7} </p><p>$

$⟹</p><p>p = \frac{4}{7} - \frac{2}{3}$

$\bold{L.C.M\: of \:7 & 3 \:is \:21 }$

$⟹</p><p>p = \frac{4 \times 3 - 2 \times 7}{21} = \frac{12 - 14}{21}$

$</p><p> = - \frac{ 2}{21}$

$\huge\tt\bold{CHECK:-}$

$⟹</p><p> \frac{2}{3} - \frac{2}{21} = \frac{4}{7}$

L.C.M OF 3 & 21 IS 21

$⟹</p><p> \frac{2(7) - 2}{21} = \frac{4}{7}$

$⟹</p><p> \frac{14 - 2}{21} = \frac{4}{7}$

$⟹</p><p> \frac{12}{21} = \frac{4}{7}$

$⟹ \frac{4}{7} = \frac{4}{7} </p><p>$

THEREFORE,L.H.S=R.H.S

VERIFIED ✔️

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HOPE IT HELPS YOU..

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Answer 2

Answer:

p = - $\frac{2}{21}$

Step-by-step explanation:

$\frac{2}{3}$ + p = $\frac{4}{7}$

p = $\frac{4}{7}$ - $\frac{2}{3}$ = $\frac{12-14}{21}$ = - $\frac{2}{21}$

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$\frac{2}{3}$ + ( - $\frac{2}{21}$ ) = $\frac{4}{7}$

$\frac{14-2}{21}$ = $\frac{4}{7}$

$\frac{12}{21}$ = $\frac{4}{7}$

$\frac{12/3}{21/3}$ = $\frac{4}{7}$

$\frac{4}{7}$ = $\frac{4}{7}$