Question

Simplify : 5/3 -7/6 + (-2/3)
please give me the step by step explanation​

Answer 1

Answer:

5/3-7/6-2/3

Take LCM=6

10-7-4/6

=-1/6

Answer 2

$\large\bold\red{Question}$

Simplify : 5/3 -7/6 + (-2/3)

$\large\bold\blue{\underline{\underline{Solution}}}$

$\sf\red{Note:}$ When there is a ‘+’ in front of an expression in parentheses, the expression remains the same

$\implies {\sf{} \frac{5}{3} - \frac{7}{5} \: - \frac{2}{3}}$

$\sf{Step\:1:}$ Write all numerators above the common denominator

$\implies \sf{} \frac{5 \: - \: 2}{3} - \frac{7}{6}$

$\sf{Step\:2:}$ Subtract the numbers

$\implies \sf{} \frac{3}{3} - \frac{7}{6}$

$\sf{Step\:3:}$ Cancel the fraction 3

$\implies \sf{} \frac{ \cancel{3}}{ \cancel{3}} - \frac{7}{6}$

$\implies \sf 1 - \sf \frac{7}{6}$

$\sf{Step\:4:}$ Write all numerators above the common denominator

$\implies \sf \frac{6 \: - \: 7}{6}$

$\sf{Step\:5:}$ Calculate the difference

$\implies \sf \frac{ - 1}{6}$

$\sf{Lastly:}$ $\sf use \: \frac{ - a}{b} = \frac{a}{ - b} = - \frac{a}{b}, \: to \: rewrite \: the \: fraction$

$\implies \sf - \frac{1}{6}$

$\sf thus, \: - \frac{1}{6} \: is \: the \: answer$

hope this help!