Solve (5)/(11)\times(66)/(30)\div(1)/(25)-(16)/(9)

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Question

$$\frac{ 5 }{ 11 } \times \frac{ 66 }{ 30 } \div \frac{ 1 }{ 25 } - \frac{ 16 }{ 9 }$$

$\frac{209}{9}\approx 23.222222222$

Reduce the fraction $\frac{66}{30}$ to lowest terms by extracting and canceling out $6$.

$$\frac{\frac{5}{11}\times \frac{11}{5}}{\frac{1}{25}}-\frac{16}{9}$$

Cancel out $\frac{5}{11}$ and its reciprocal $\frac{11}{5}$.

$$\frac{1}{\frac{1}{25}}-\frac{16}{9}$$

Divide $1$ by $\frac{1}{25}$ by multiplying $1$ by the reciprocal of $\frac{1}{25}$.

$$1\times 25-\frac{16}{9}$$

Multiply $1$ and $25$ to get $25$.

$$25-\frac{16}{9}$$

Convert $25$ to fraction $\frac{225}{9}$.

$$\frac{225}{9}-\frac{16}{9}$$

Since $\frac{225}{9}$ and $\frac{16}{9}$ have the same denominator, subtract them by subtracting their numerators.

$$\frac{225-16}{9}$$

Subtract $16$ from $225$ to get $209$.

$$\frac{209}{9}$$

$\frac{11 \cdot 19}{3 ^ {2}} = 23\frac{2}{9} = 23.22222222222222$