Question

Solve the equation p/3+p/4=55-p+4/5

Answer 1

Step-by-step explanation:

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Answer 2

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question :-

$\frac {p}{3} + \frac {p}{4} = 55- p + \frac{4}{5}$

LHS:-

• lowest common factor of the denominator

$\frac {p}{3} + \frac{p}{4}$

$\frac{4p+3p}{12}$

$\frac{7p}{12}$

RHS :-

$55- p + \frac{4}{5}$

$55+ \frac{4}{5}-p$

$\frac{275+4}{5}-p$

$\frac{279}{5}-p$

compare LHS and RHS

$\frac{7p}{12}= \frac{279}{5}-p$

$\frac{7p}{12}+p= \frac{279}{5}$

$\frac{7p+12p}{12}= \frac{279}{5}$

$\frac{19p}{12}= \frac{279}{5}$

$p= \frac {279 * 12}{5*19}$

$p= \frac {3348}{95}$

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