Solve 1/3*4*3.14*5*7.8

$$\frac{ 1 }{ 3 } \times 4 \times 3.14 \times 5 \times 7.8$$

Evaluate

$$163.28$$

Solution Steps

Multiply \frac{1}{3} and 4 to get \frac{4}{3}.

$$\frac{4}{3}\times 3.14\times 5\times 7.8$$

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.

$$\frac{4}{3}\times \frac{157}{50}\times 5\times 7.8$$

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

$$\frac{4\times 157}{3\times 50}\times 5\times 7.8$$

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

$$\frac{628}{150}\times 5\times 7.8$$

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

$$\frac{314}{75}\times 5\times 7.8$$

Express \frac{314}{75}\times 5 as a single fraction.

$$\frac{314\times 5}{75}\times 7.8$$

Multiply 314 and 5 to get 1570.

$$\frac{1570}{75}\times 7.8$$

Reduce the fraction \frac{1570}{75} to lowest terms by extracting and canceling out 5.

$$\frac{314}{15}\times 7.8$$

Convert decimal number 7.8 to fraction \frac{78}{10}. Reduce the fraction \frac{78}{10} to lowest terms by extracting and canceling out 2.

$$\frac{314}{15}\times \frac{39}{5}$$

Multiply \frac{314}{15} times \frac{39}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{314\times 39}{15\times 5}$$

Do the multiplications in the fraction \frac{314\times 39}{15\times 5}.

$$\frac{12246}{75}$$

Reduce the fraction \frac{12246}{75} to lowest terms by extracting and canceling out 3.

$$\frac{4082}{25}$$

Factor

$$\frac{2 \cdot 13 \cdot 157}{5 ^ {2}} = 163\frac{7}{25} = 163.28$$