Question

5/8 + 7/8 + (-9/8) + 3/8​

Answer 1

Answer:

$\frac{5}{8} + \frac{7}{8} + ( - \frac{9}{8} ) + \frac{3}{8} \\ \\ = \frac{5}{8} + \frac{7}{8} - \frac{9}{8} + \frac{3}{8} \\ \\ = \frac{5}{8} + \frac{7}{8} - \frac{6}{8} \\ \\ = \frac{5}{8} + \frac{1}{8} \\ \\ = \frac{6}{8} \\ \\ = \frac{3 }{4}$

#lovelove!

Answer 2

Answer:

$\displaystyle\blue{\frac{5}{8}+\frac{7}{8}+\left(-\frac{9}{8}\right)+\frac{3}{8}=\frac{3}{4}\quad \left(\mathrm{Decimal:\quad }\:0.75\right)}$

Step-by-step explanation:

$\displaystyle\frac{5}{8}+\frac{7}{8}+\left(-\frac{9}{8}\right)+\frac{3}{8}$

$\gray{\mathrm{Group\:like\:terms}}$

$\displaystyle =\frac{5}{8}+\frac{7}{8}+\frac{3}{8}+\left(-\frac{9}{8}\right)$

$\displaystyle\gray{\mathrm{Combine\:the\:fractions\:}\frac{5}{8}+\frac{7}{8}+\frac{3}{8}:\quad \frac{15}{8}}}$

$\displaystyle=\frac{15}{8}+\left(-\frac{9}{8}\right)$

$\gray{\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a}$

$\displaystyle=\frac{15}{8}-\frac{9}{8}$

$\displaystyle\gray{\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}}$

$\displaystyle=\frac{15-9}{8}$

$\gray{\mathrm{Subtract\:the\:numbers:}\:15-9=6}$

$\displaystyle=\frac{6}{8}$

$\gray{\mathrm{Cancel\:the\:common\:factor:}\:2}$

$\displaystyle =\frac{3}{4}$