Solve (6.12)/22.6*29.7

$$\frac{ (6.12) }{ 22.6 } \times 29.7$$

Evaluate

$$\frac{45441}{5650}\approx 8.042654867$$

Solution Steps

Expand \frac{6.12}{22.6} by multiplying both numerator and the denominator by 100.

$$\frac{612}{2260}\times 29.7$$

Reduce the fraction \frac{612}{2260} to lowest terms by extracting and canceling out 4.

$$\frac{153}{565}\times 29.7$$

Convert decimal number 29.7 to fraction \frac{297}{10}.

$$\frac{153}{565}\times \frac{297}{10}$$

Multiply \frac{153}{565} times \frac{297}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{153\times 297}{565\times 10}$$

Do the multiplications in the fraction \frac{153\times 297}{565\times 10}.

$$\frac{45441}{5650}$$

Factor

$$\frac{11 \cdot 17 \cdot 3 ^ {5}}{2 \cdot 113 \cdot 5 ^ {2}} = 8\frac{241}{5650} = 8.042654867256637$$