Solve 5div6+7div65*951+51+951+951*654

$$5 \div 6+7 \div 65 \times 951+51+951+951 \times 654$$

Evaluate

$$\frac{242993107}{390}\approx 623059.248717949$$

Solution Steps

Express \frac{7}{65}\times 951 as a single fraction.

$$\frac{5}{6}+\frac{7\times 951}{65}+51+951+951\times 654$$

Multiply 7 and 951 to get 6657.

$$\frac{5}{6}+\frac{6657}{65}+51+951+951\times 654$$

Least common multiple of 6 and 65 is 390. Convert \frac{5}{6} and \frac{6657}{65} to fractions with denominator 390.

$$\frac{325}{390}+\frac{39942}{390}+51+951+951\times 654$$

Since \frac{325}{390} and \frac{39942}{390} have the same denominator, add them by adding their numerators.

$$\frac{325+39942}{390}+51+951+951\times 654$$

Add 325 and 39942 to get 40267.

$$\frac{40267}{390}+51+951+951\times 654$$

Convert 51 to fraction \frac{19890}{390}.

$$\frac{40267}{390}+\frac{19890}{390}+951+951\times 654$$

Since \frac{40267}{390} and \frac{19890}{390} have the same denominator, add them by adding their numerators.

$$\frac{40267+19890}{390}+951+951\times 654$$

Add 40267 and 19890 to get 60157.

$$\frac{60157}{390}+951+951\times 654$$

Convert 951 to fraction \frac{370890}{390}.

$$\frac{60157}{390}+\frac{370890}{390}+951\times 654$$

Since \frac{60157}{390} and \frac{370890}{390} have the same denominator, add them by adding their numerators.

$$\frac{60157+370890}{390}+951\times 654$$

Add 60157 and 370890 to get 431047.

$$\frac{431047}{390}+951\times 654$$

Multiply 951 and 654 to get 621954.

$$\frac{431047}{390}+621954$$

Convert 621954 to fraction \frac{242562060}{390}.

$$\frac{431047}{390}+\frac{242562060}{390}$$

Since \frac{431047}{390} and \frac{242562060}{390} have the same denominator, add them by adding their numerators.

$$\frac{431047+242562060}{390}$$

Add 431047 and 242562060 to get 242993107.

$$\frac{242993107}{390}$$

Factor

$$\frac{7 ^ {2} \cdot 4959043}{2 \cdot 3 \cdot 5 \cdot 13} = 623059\frac{97}{390} = 623059.2487179487$$