Question

Evaluate b-(-1/8)+c where b=2 and c=-7/4

Answer 1

Answer: $\Large\boxed{\dfrac{3}{8} }$

Step-by-step explanation:

Given information

$b=2$

$c=-\dfrac{7}{4}$

Given expression

$b-(-\dfrac{1}{8}) +c$

Substitute values into the expression

$=(2)-(-\dfrac{1}{8}) +(-\dfrac{7}{4} )$

Convert the fractions into the common denominator

Least Common Multiple (LCM) of 8 and 4 = 8

$=(2)-(-\dfrac{1}{8}) +(-\dfrac{7\times2}{4\times2} )$

$=(2)-(-\dfrac{1}{8}) +(-\dfrac{14}{8} )$

Simplify the parenthesis

$=2+\dfrac{1}{8} -\dfrac{14}{8}$

Simplify by addition

$=\dfrac{16}{8} +\dfrac{1}{8} -\dfrac{14}{8}$

$=\dfrac{17}{8} -\dfrac{14}{8}$

Simplify by subtraction

$\Large\boxed{=\dfrac{3}{8} }$

Hope this helps!! :)

Please let me know if you have any questions