Solve 3.14*left(493+2*3+36*3right)/4

$$\frac{ 3.14 \times \left( 493+2 \cdot 3+36 \cdot 3 \right) }{ 4 }$$

Evaluate

$$476.495$$

Solution Steps

Multiply 2 and 3 to get 6. Multiply 36 and 3 to get 108.

$$\frac{3.14\left(493+6+108\right)}{4}$$

Add 493 and 6 to get 499.

$$\frac{3.14\left(499+108\right)}{4}$$

Add 499 and 108 to get 607.

$$\frac{3.14\times 607}{4}$$

Multiply 3.14 and 607 to get 1905.98.

$$\frac{1905.98}{4}$$

Expand \frac{1905.98}{4} by multiplying both numerator and the denominator by 100.

$$\frac{190598}{400}$$

Reduce the fraction \frac{190598}{400} to lowest terms by extracting and canceling out 2.

$$\frac{95299}{200}$$

Factor

$$\frac{157 \cdot 607}{2 ^ {3} \cdot 5 ^ {2}} = 476\frac{99}{200} = 476.495$$