Solve 3.14*15div3*7.8

$$3.14 \times 15 \div 3 \times 7.8$$

Evaluate

$$122.46$$

Solution Steps

Multiply 3.14 and 15 to get 47.1.

$$\frac{47.1}{3}\times 7.8$$

Expand \frac{47.1}{3} by multiplying both numerator and the denominator by 10.

$$\frac{471}{30}\times 7.8$$

Reduce the fraction \frac{471}{30} to lowest terms by extracting and canceling out 3.

$$\frac{157}{10}\times 7.8$$

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.

$$\frac{157}{10}\times \frac{39}{5}$$

Multiply \frac{157}{10} times \frac{39}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{157\times 39}{10\times 5}$$

Do the multiplications in the fraction \frac{157\times 39}{10\times 5}.

$$\frac{6123}{50}$$

Factor

$$\frac{3 \cdot 13 \cdot 157}{2 \cdot 5 ^ {2}} = 122\frac{23}{50} = 122.46$$