Solve 1/3(3.14*7^2)17.2

$$\frac{ 1 }{ 3 } (3.14 \times { 7 }^{ 2 } )17.2$$

Evaluate

$$\frac{330799}{375}\approx 882.130666667$$

Solution Steps

Convert decimal number 3.14 to fraction \frac{314}{100}. Reduce the fraction \frac{314}{100} to lowest terms by extracting and canceling out 2.

$$\frac{1}{3}\times \frac{157}{50}\times 7^{2}\times 17.2$$

Multiply \frac{1}{3} times \frac{157}{50} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 157}{3\times 50}\times 7^{2}\times 17.2$$

Do the multiplications in the fraction \frac{1\times 157}{3\times 50}.

$$\frac{157}{150}\times 7^{2}\times 17.2$$

Calculate 7 to the power of 2 and get 49.

$$\frac{157}{150}\times 49\times 17.2$$

Express \frac{157}{150}\times 49 as a single fraction.

$$\frac{157\times 49}{150}\times 17.2$$

Multiply 157 and 49 to get 7693.

$$\frac{7693}{150}\times 17.2$$

Convert decimal number 17.2 to fraction \frac{172}{10}. Reduce the fraction \frac{172}{10} to lowest terms by extracting and canceling out 2.

$$\frac{7693}{150}\times \frac{86}{5}$$

Multiply \frac{7693}{150} times \frac{86}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7693\times 86}{150\times 5}$$

Do the multiplications in the fraction \frac{7693\times 86}{150\times 5}.

$$\frac{661598}{750}$$

Reduce the fraction \frac{661598}{750} to lowest terms by extracting and canceling out 2.

$$\frac{330799}{375}$$

Factor

$$\frac{43 \cdot 157 \cdot 7 ^ {2}}{3 \cdot 5 ^ {3}} = 882\frac{49}{375} = 882.1306666666667$$