Question

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

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Answer 1

$\huge{\bold☘}\mathfrak\pink{\bold{\underline{{ ℘ɧεŋσɱεŋศɭ}}}}{\bold☘}$

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

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..

_____________________

Thankyou:)

Answer 2

★ ANSWER :

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

Step-by-step explanation:

★ QUESTION :

Find the value of p and verify the answer.

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

★ CONCEPT USED :

1. Transposition
2. LCM

★ SOLUTION :

$\frac{2}{3} + p = \frac{4}{7} \\ \\ \implies \: p = \frac{4}{7} - \frac{2}{3} \\ \\ \sf \pink{LCM \: of \: 7 \: and \: 3 \: is \: 21.} \\ \\ \implies \: p \: = \frac{(3 \times 4) - (7 \times 2)}{21} \\ \\ \implies \: p \: = \frac{12 - 14}{21} \\ \\ \implies \: p \: = - \frac{2}{21}$

★ ANSWER :

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

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★ VERIFICATION :

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• TO VERIFY : $\frac{2}{3} + p = \frac{4}{7}$

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• LHS [Left Hand Side]

$\frac{2}{3} + p \\ \\ = \frac{2}{3} + ( - \frac{ 2}{21} ) \\ \\ = \frac{2}{3} - \frac{2}{21} \\ \\ \sf \red{ LCM \: of \: 3 \: and \: 21 \: is \: 21.} \\ \\ = \frac{(7 \times 2) - (1 \times 2)}{21} \\ \\ = \frac{14 - 2}{21} \\ \\ = \frac{12}{21} \\ \\ = \frac{ \cancel{12}}{ \cancel{21} } \: \: \: \: \: \: \blue [ \rm \blue{ Cancelling \: by \: 3 } \blue]\\ \\ = \frac{4}{7}$

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• RHS [Right Hand Side]

$\frac{4}{7}$

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LHS = RHS

Hence , VERIFIED ✓

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HOPE IT HELPS YOU !

THANKS !