Question

Simplify: 1/21+(2/3of 15+(7/6÷49/4- (5/9×36/45+5/9)))

Answer 1

You would get 64/7 or 9 and 1/7, just use pemdas and you should be able to solve it

Answer 2

Answer: The simplified value is $\dfrac{64}{9}$

Step-by-step explanation:

Since we have given that

$\dfrac{1}{21}+(\dfrac{2}{3}\ of\ 15+(\dfrac{7}{6}\div \dfrac{49}{4}-(\dfrac{5}{9}\times \dfrac{36}{45}+\dfrac{5}{9})))\\\\So,\\\\\dfrac{2}{3}\times 15=2\times 5=10\\\\\dfrac{7}{6}\times \dfrac{4}{49}=\dfrac{2}{21}\\\\\dfrac{5}{9}\times \dfrac{36}{45}+\dfrac{5}{9}=\dfrac{4}{9}+\dfrac{5}{9}=\dfrac{4+5}{9}=\dfrac{9}{9}=1\\\\So,\\\\\dfrac{1}{21}+(10+\dfrac{2}{21}-1)\\\\\dfrac{1+2}{21}+9\\\\\dfrac{3}{21}+9\\\\=\dfrac{1}{7}+9\\\\=\dfrac{1+63}{9}\\\\=\dfrac{64}{9}$

Hence, the simplified value is $\dfrac{64}{9}$