Question

Simplify: Negative two and one-third minus negative ten and one-sixth(20 points)

Answer 1

Given:

The expression is

$-2\dfrac{1}{3}-\left(-10\dfrac{1}{6}\right)$

To find:

The value of the expression.

Solution:

We have,

$-2\dfrac{1}{3}-\left(-10\dfrac{1}{6}\right)=-2\dfrac{1}{3}+10\dfrac{1}{6}$

Convert the mixed fraction in improper fraction.

$=-\dfrac{2\times 3+1}{3}+\dfrac{10\times 6+1}{6}$

$=-\dfrac{6+1}{3}+\dfrac{60+1}{6}$

$=-\dfrac{7}{3}+\dfrac{61}{6}$

Taking LCM, we get

$=\dfrac{-2(7)+61}{6}$

$=\dfrac{-14+61}{6}$

$=\dfrac{42}{6}$

Convert it into mixed fraction.

$=\dfrac{6(7)+5}{6}$

$=7\dfrac{5}{6}$

Therefore, the correct option is C.