Solve 1/3*272.25*13.6

$$\frac{ 1 }{ 3 } \times 272.25 \times 13.6$$

Evaluate

$$1234.2$$

Solution Steps

Convert decimal number 272.25 to fraction \frac{27225}{100}. Reduce the fraction \frac{27225}{100} to lowest terms by extracting and canceling out 25.

$$\frac{1}{3}\times \frac{1089}{4}\times 13.6$$

Multiply \frac{1}{3} times \frac{1089}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 1089}{3\times 4}\times 13.6$$

Do the multiplications in the fraction \frac{1\times 1089}{3\times 4}.

$$\frac{1089}{12}\times 13.6$$

Reduce the fraction \frac{1089}{12} to lowest terms by extracting and canceling out 3.

$$\frac{363}{4}\times 13.6$$

Convert decimal number 13.6 to fraction \frac{136}{10}. Reduce the fraction \frac{136}{10} to lowest terms by extracting and canceling out 2.

$$\frac{363}{4}\times \frac{68}{5}$$

Multiply \frac{363}{4} times \frac{68}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{363\times 68}{4\times 5}$$

Do the multiplications in the fraction \frac{363\times 68}{4\times 5}.

$$\frac{24684}{20}$$

Reduce the fraction \frac{24684}{20} to lowest terms by extracting and canceling out 4.

$$\frac{6171}{5}$$

Factor

$$\frac{3 \cdot 17 \cdot 11 ^ {2}}{5} = 1234\frac{1}{5} = 1234.2$$