Solve 2.7*8/24*1613.5=

$$2.7 \times \frac{ 8 }{ 24 } \times 1613.5=$$

Evaluate

$$1452.15$$

Solution Steps

Reduce the fraction \frac{8}{24} to lowest terms by extracting and canceling out 8.

$$2.7\times \frac{1}{3}\times 1613.5$$

Convert decimal number 2.7 to fraction \frac{27}{10}.

$$\frac{27}{10}\times \frac{1}{3}\times 1613.5$$

Multiply \frac{27}{10} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{27\times 1}{10\times 3}\times 1613.5$$

Do the multiplications in the fraction \frac{27\times 1}{10\times 3}.

$$\frac{27}{30}\times 1613.5$$

Reduce the fraction \frac{27}{30} to lowest terms by extracting and canceling out 3.

$$\frac{9}{10}\times 1613.5$$

Convert decimal number 1613.5 to fraction \frac{16135}{10}. Reduce the fraction \frac{16135}{10} to lowest terms by extracting and canceling out 5.

$$\frac{9}{10}\times \frac{3227}{2}$$

Multiply \frac{9}{10} times \frac{3227}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\times 3227}{10\times 2}$$

Do the multiplications in the fraction \frac{9\times 3227}{10\times 2}.

$$\frac{29043}{20}$$

Factor

$$\frac{7 \cdot 461 \cdot 3 ^ {2}}{5 \cdot 2 ^ {2}} = 1452\frac{3}{20} = 1452.15$$