Question

Use distributive property and simplify
2/3x(9/5+6/7)​

Answer 1

Answer:

62/35

Step-by-step explanation:

a(b+c)= a*b + a*c

$\frac{2}{3} (\frac{9}{5} +\frac{6}{7} )$

$=(\frac{2}{3} *\frac{9}{5} )+(\frac{2}{3} *\frac{6}{7} )$

$=\frac{18}{15} +\frac{12}{21}$

$=\frac{6}{5} +\frac{4}{7}$

Take LCM

$=\frac{(6*7)+(4*5)}{5*7}$

$=\frac{42+20}{35}$

$=\frac{62}{35}$