Question

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

Answer 1

$\green{\bold{\underline{ ✪ ASPIRANT✪ }}}$

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

Q:-solve and verify the equation

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

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

_ _ _ _ _ _ _ _ _ _ _ _ _ _ _✍️

══════════XXX═════════════

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

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

L.C.M of 7 & 3 is 21

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

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

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 ✓

══════════XXX═════════════

HOPE IT HELPS YOU..

_____________________

Thankyou:)

Answer 2

Step-by-step explanation:

$\sf \: \frac{2}{3} + p = \frac{4}{7} \\ \\ \sf \: \frac{2 + 3p}{3} = \frac{4}{7} \\ \\ \sf \: \: 14 + 21p \: = 12 \\ \\ \sf 21p = 12 - 14 \\ \\ \sf \: 21p = - 2 \\ \\ \sf \red{p = \frac{ - 2}{21} }$