What is (400)/(2(200)+1) ?

The solution to (400)/(2(200)+1) is 400/401

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(400)/(2(200)+1)

\frac{400}{2 ( 200 ) + 1}

\frac{400}{401}

Solution steps

\frac{400}{2 ( 200 ) + 1}

Solve

2 (200) + 1 : 401

Follow the PEMDAS order of operations

Multiply and divide (left to right)

2 (200) : 400

2 (200)

Apply rule:

(a) = a

(200) = 200

= 2 \cdot 200

Multiply the numbers:

2 \cdot 200 = 400

= 400

= 400 + 1

Add and subtract (left to right)

400 + 1 : 401

400 + 1

400 + 1 = 401

= 401

= 401

= \frac{400}{401}

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