Question

state whether the following statement is true or false?give reasons.If x/3+1=7/15 then x/3=6/15​

Answer 1

$If \: \frac{x}{3} + 1 = \frac{7}{15} \:then \\\frac{x}{3} = \frac{6}{15} \: \red{ ( False ) }$

Explanation:

$Given \: \frac{x}{3} + 1 = \frac{7}{15}$

/* Subtract bothsides by 1 , we get */

$\implies \frac{x}{3} +1 - 1 = \frac{7}{15} - 1$

$\implies \frac{x}{3} = \frac{7}{15} - 1$

$= \frac{7-15}{15} \\= \frac{-6}{15}$

Therefore.,

$\red{If \: \frac{x}{3} + 1 = \frac{7}{15}} \:then \\\green {\frac{x}{3} = \frac{-6}{15}}$

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