Question

simplify 5 6/7+(-2 ⅓)+ 1⅚ by step by step . please I need to solve in my classwork note so need only step by step . you can write in a paper and also send . the first will get brainlist answer​

Answer 1

Answer:

4 $\frac{19}{14}$

Step-by-step explanation:

5$\frac{6}{7}$ + (-2$\frac{1}{3}$) + 1$\frac{5}{6}$ -----------------EQN1

First let us add the whole numbers and the fraction

ie 5-2+1+$\frac{6}{7}$ - $\frac{1}{3}$ + $\frac{5}{6}$

= 4 + $\frac{6}{7}$ - $\frac{1}{3}$ + $\frac{5}{6}$ -----------------------EQN 2

Now we will add the Fraction

For adding teh fraction, we have to convert the fractions to like fractions , that is fractions with same denominator

In order to make the fractions Like fractions, we have to first find the LCM of 7,3 and 6

LCM is 42

So EQN2 becomes

4 + $\frac{36}{42}$ - $\frac{14}{42}$ + $\frac{35}{42}$

4 + (36-14+35)/42

4 + $\frac{57}{42}$

= 4 + $\frac{19}{14}$

=4 $\frac{19}{14}$