What is 5/(6+(1/3-1/5)/3) ?

The solution to 5/(6+(1/3-1/5)/3) is 225/272

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5/(6+(1/3-1/5)/3)

5/ (6 + (1/3 - 1/5) /3)

\frac{225}{272}

Solution steps

5/ (6 + (1/3 - 1/5) /3)

Follow the PEMDAS order of operations

Calculate within parentheses

(6 + (1/3 - 1/5) /3) : \frac{272}{45}

= 5/ \frac{272}{45}

Multiply and divide (left to right)

5/ \frac{272}{45} : \frac{225}{272}

= \frac{225}{272}

5 + (3 + 1)^{2}

2^{16} - 1

\frac{1}{2} (- 1)^{2}

- 3^{2} - 4

6 + 2 (1 + 2)