Question

Find the value of 4/7 + -8/9 + -5/21 + 1/3​

Answer 1

Answer:

4/7 + (-8/9) + (-5/21) + 1/3

4/7 + 1/3 + (-8/9) + (-5/21)

12/21 + 7/21 + (-56/63) + (-15/63)

19/21 + (-71/63)

57/63 + (-71/63)

-14/63

so answer is -14/63

hope it helps

Answer 2

Answer:

$-\frac{2}{9}$

Step-by-step explanation:

• Given expression: $\frac{4}{7} +(-\frac{8}{9} )+(-\frac{5}{21} )+\frac{1}{3}$

• As per the data given in the question, we need to add the given fractions

• To add the given fractions, we need to find the LCM of denominators

• LCM of $7,9,21,3=63$

• By taking $63$ as denominator, we get

$=\frac{36-56-15+21}{63}$

• On adding the numbers, we get

$=-\frac{14}{63}$

• On dividing the numerator and denominator by $7$, we get

$=-\frac{2}{9}$

Hence, the value of $\frac{4}{7} +(-\frac{8}{9} )+(-\frac{5}{21} )+\frac{1}{3}$ is $-\frac{2}{9}$.