Question

simplify:
(24/35÷6/7+5/9)×3/4​

Answer 1

Answer:

$\frac{67}{60}$

Step-by-step explanation:

( $\frac{24}{35}$ ÷ $\frac{6}{7}$ + $\frac{5}{9}$ ) × $\frac{3}{4}$

⇒ ( $\frac{24}{35}$ × $\frac{7}{6}$ + $\frac{5}{9}$ ) × $\frac{3}{4}$

⇒ ( $\frac{4}{5}$ × $\frac{7}{6}$ + $\frac{5}{9}$ ) × $\frac{3}{4}$

⇒ ( $\frac{28}{30}$ + $\frac{5}{9}$ ) × $\frac{3}{4}$

⇒ ( $\frac{28(3) + 5(10)}{90}$ ) × $\frac{3}{4}$

⇒ $\frac{84 + 50}{90}$ × $\frac{3}{4}$

⇒ $\frac{134}{90}$ × $\frac{3}{4}$

⇒ $\frac{402}{360}$ ⇒ $\frac{67}{60}$

∴ The answer is $\frac{67}{60}$.

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