Solve 1/3*3.4*3*5+3.14*3^2*15

$$\frac { 1 } { 3 } \times 3.4 \times 3 \times 5 + 3.14 \times 3 ^ { 2 } \times 15$$

Evaluate

$$440.9$$

Solution Steps

Convert decimal number 3.4 to fraction \frac{34}{10}. Reduce the fraction \frac{34}{10} to lowest terms by extracting and canceling out 2.

$$\frac{1}{3}\times \frac{17}{5}\times 3\times 5+3.14\times 3^{2}\times 15$$

Multiply \frac{1}{3} times \frac{17}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 17}{3\times 5}\times 3\times 5+3.14\times 3^{2}\times 15$$

Do the multiplications in the fraction \frac{1\times 17}{3\times 5}.

$$\frac{17}{15}\times 3\times 5+3.14\times 3^{2}\times 15$$

Express \frac{17}{15}\times 3 as a single fraction.

$$\frac{17\times 3}{15}\times 5+3.14\times 3^{2}\times 15$$

Multiply 17 and 3 to get 51.

$$\frac{51}{15}\times 5+3.14\times 3^{2}\times 15$$

Reduce the fraction \frac{51}{15} to lowest terms by extracting and canceling out 3.

$$\frac{17}{5}\times 5+3.14\times 3^{2}\times 15$$

Cancel out 5 and 5.

$$17+3.14\times 3^{2}\times 15$$

Calculate 3 to the power of 2 and get 9.

$$17+3.14\times 9\times 15$$

Multiply 3.14 and 9 to get 28.26.

$$17+28.26\times 15$$

Multiply 28.26 and 15 to get 423.9.

$$17+423.9$$

Add 17 and 423.9 to get 440.9.

$$440.9$$

Factor

$$\frac{4409}{2 \cdot 5} = 440\frac{9}{10} = 440.9$$