Solve 10.125div17*22.4

$$10.125 \div 17 \times 22.4$$

Evaluate

$$\frac{1134}{85}\approx 13.341176471$$

Solution Steps

Expand \frac{10.125}{17} by multiplying both numerator and the denominator by 1000.

$$\frac{10125}{17000}\times 22.4$$

Reduce the fraction \frac{10125}{17000} to lowest terms by extracting and canceling out 125.

$$\frac{81}{136}\times 22.4$$

Convert decimal number 22.4 to fraction \frac{224}{10}. Reduce the fraction \frac{224}{10} to lowest terms by extracting and canceling out 2.

$$\frac{81}{136}\times \frac{112}{5}$$

Multiply \frac{81}{136} times \frac{112}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{81\times 112}{136\times 5}$$

Do the multiplications in the fraction \frac{81\times 112}{136\times 5}.

$$\frac{9072}{680}$$

Reduce the fraction \frac{9072}{680} to lowest terms by extracting and canceling out 8.

$$\frac{1134}{85}$$

Factor

$$\frac{2 \cdot 7 \cdot 3 ^ {4}}{5 \cdot 17} = 13\frac{29}{85} = 13.341176470588236$$