Question

Find 3 1/6 + (-4 1/3).

Answer 1

Answer:

-1 1/6

Step-by-step explanation:

$3\frac{1}{6} + (-4\frac{1}{3} )$

Convert the mixed numbers into improper fractions

$\frac{19}{6} + (-\frac{13}{3} )$

Apply the rule: a + (-b) = a - b

$\frac{19}{6} + (-\frac{13}{3} ) = \frac{19}{6} - \frac{13}{3}$

The Least Common Multiplier of 6 and 3 is 6

Adjust the fractions on the LCM

$\frac{19}{6} - \frac{26}{3}$

Apply the Fraction Rule: $\frac{a}{c} -\frac{b}{c} = \frac{a - b}{c}$

$\frac{19 - 26}{6}$

Subtract the numbers

$\frac{-7}{6}$

Apply the Fraction Rule: $\frac{-a}{b} = - \frac{a}{b}$

$-\frac{7}{6}$

Convert improper fraction into a mixed number

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

Hope this Helps :)