Question

(-1 2/7)+(-3 5/7)+(6 4/7)

Answer 1

Answer:

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

Step-by-step explanation:

(-1 $\frac{2}{7}$)+(-3$\frac{5}{7}$)+(6$\frac{4}{7}$)

= (- $\frac{9}{7}$) + (- $\frac{26}{7}$) + ( $\frac{46}{7}$)

= $\frac{-9- 26 + 46}{7}$

= $\frac{- 35 + 46}{7}$

= $\frac{+11}{7}$

= 1$\frac{4}{7}$

• The addition of fractions  add two or more fractions with the same or different denominators. The addition of fraction can takes place on two major conditions:

               Fractions with Same denominators

               Fractions with Different denominators

Rules for addition of Fractions with Same Denominators

• If denominators of two or more fractions are same, then we have to  add the numerators directly, keeping the denominator common.

steps :

• Add the numerators and  keep the denominator common

• Write the answer in simplified fraction.

Rules for adding fractions with Different Denominators

• When two or more fractions with different denominators have to be added , we cannot add the numerators directly.

steps :

• Convert the denominators of the fractions same by finding the LCM of denominators and then rationalizing them.

• Now add the numerators of the fractions and  keep the denominator common.

• Simplify the fraction to get final result.

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