Solve 200div52*96*96+23

$$200 \div 52 \times 96 \times 96+23$$

Evaluate

$$\frac{461099}{13}\approx 35469.153846154$$

Solution Steps

Reduce the fraction \frac{200}{52} to lowest terms by extracting and canceling out 4.

$$\frac{50}{13}\times 96\times 96+23$$

Express \frac{50}{13}\times 96 as a single fraction.

$$\frac{50\times 96}{13}\times 96+23$$

Multiply 50 and 96 to get 4800.

$$\frac{4800}{13}\times 96+23$$

Express \frac{4800}{13}\times 96 as a single fraction.

$$\frac{4800\times 96}{13}+23$$

Multiply 4800 and 96 to get 460800.

$$\frac{460800}{13}+23$$

Convert 23 to fraction \frac{299}{13}.

$$\frac{460800}{13}+\frac{299}{13}$$

Since \frac{460800}{13} and \frac{299}{13} have the same denominator, add them by adding their numerators.

$$\frac{460800+299}{13}$$

Add 460800 and 299 to get 461099.

$$\frac{461099}{13}$$

Factor

$$\frac{61 \cdot 7559}{13} = 35469\frac{2}{13} = 35469.153846153844$$