Solve 4/3*3.14*4.2915=

$$\frac{ 4 }{ 3 } \times 3.14 \times 4.2915=$$

Evaluate

$$17.96708$$

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.

$$\frac{4}{3}\times \frac{157}{50}\times 4.2915$$

Multiply \frac{4}{3} times \frac{157}{50} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 157}{3\times 50}\times 4.2915$$

Do the multiplications in the fraction \frac{4\times 157}{3\times 50}.

$$\frac{628}{150}\times 4.2915$$

Reduce the fraction \frac{628}{150} to lowest terms by extracting and canceling out 2.

$$\frac{314}{75}\times 4.2915$$

Convert decimal number 4.2915 to fraction \frac{42915}{10000}. Reduce the fraction \frac{42915}{10000} to lowest terms by extracting and canceling out 5.

$$\frac{314}{75}\times \frac{8583}{2000}$$

Multiply \frac{314}{75} times \frac{8583}{2000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{314\times 8583}{75\times 2000}$$

Do the multiplications in the fraction \frac{314\times 8583}{75\times 2000}.

$$\frac{2695062}{150000}$$

Reduce the fraction \frac{2695062}{150000} to lowest terms by extracting and canceling out 6.

$$\frac{449177}{25000}$$

Factor

$$\frac{157 \cdot 2861}{2 ^ {3} \cdot 5 ^ {5}} = 17\frac{24177}{25000} = 17.96708$$