Question

Reduce to simplest form. -\dfrac{7}{8}-\left(-\dfrac{5}{6}\right)=− 8 7 ​ −(− 6 5 ​ )=minus, start fraction, 7, divided by, 8, end fraction, minus, left parenthesis, minus, start fraction, 5, divided by, 6, end fraction, right parenthesis, equals

Answer 1

Answer:

$-\dfrac{1}{24}$

Step-by-step explanation:

We are required to reduce the expression below to its simplest form

$-\dfrac{7}{8}-\left(-\dfrac{5}{6}\right)$

STEP 1: Remove the brackets

Take note that the product of same sign(- and -) will give you the addition sign.

$-\dfrac{7}{8}-\left(-\dfrac{5}{6}\right)=-\dfrac{7}{8}+\dfrac{5}{6}$

STEP 2: Find the Lowest Common Multiple of 8 and 6

Lowest Common Multiple of 8 and 6 is 24

STEP 3: Use the LCM to Simplify

$-\dfrac{7}{8}+\dfrac{5}{6}=\dfrac{(-3X7)+(5X4)}{24}\\=\dfrac{-21+20}{24}\\=\dfrac{-1}{24}\\=-\dfrac{1}{24}$

Therefore:

$-\dfrac{7}{8}-\left(-\dfrac{5}{6}\right)=-\dfrac{1}{24}$

Answer 2

Answer: - 1/24

Step-by-step explanation:

Reduce to simplest form.

− 7/8 - ( - 5/6)

= - 7/8 + 5/6

Find the LCM of the denominators

Which is 48

= [- (7×6) + (5×8)]/48

= ( - 42 + 40)/48

= -2/48

= - 1/24 or - 0.04167