Solve 45^230*41615+6455*41div4

$${ 45 }^{ 2 } 30 \times 41615+6455 \times 41 \div 4$$

Evaluate

$$\frac{10112709655}{4}=2528177413.75$$

Solution Steps

Calculate 45 to the power of 2 and get 2025.

$$2025\times 30\times 41615+\frac{6455\times 41}{4}$$

Multiply 2025 and 30 to get 60750.

$$60750\times 41615+\frac{6455\times 41}{4}$$

Multiply 60750 and 41615 to get 2528111250.

$$2528111250+\frac{6455\times 41}{4}$$

Multiply 6455 and 41 to get 264655.

$$2528111250+\frac{264655}{4}$$

Convert 2528111250 to fraction \frac{10112445000}{4}.

$$\frac{10112445000}{4}+\frac{264655}{4}$$

Since \frac{10112445000}{4} and \frac{264655}{4} have the same denominator, add them by adding their numerators.

$$\frac{10112445000+264655}{4}$$

Add 10112445000 and 264655 to get 10112709655.

$$\frac{10112709655}{4}$$

Factor

$$\frac{5 \cdot 41 \cdot 67 \cdot 736273}{2 ^ {2}} = 2528177413\frac{3}{4} = 2528177413.75$$