Solve 16.9div(550*24div1000)*5

$$16.9 \div (550 \times 24 \div 1000) \times 5$$

Evaluate

$$\frac{845}{132}\approx 6.401515152$$

Solution Steps

Divide 16.9 by \frac{550\times 24}{1000} by multiplying 16.9 by the reciprocal of \frac{550\times 24}{1000}.

$$\frac{16.9\times 1000}{550\times 24}\times 5$$

Cancel out 4\times 50 in both numerator and denominator.

$$\frac{5\times 16.9}{6\times 11}\times 5$$

Multiply 5 and 16.9 to get 84.5.

$$\frac{84.5}{6\times 11}\times 5$$

Multiply 6 and 11 to get 66.

$$\frac{84.5}{66}\times 5$$

Expand \frac{84.5}{66} by multiplying both numerator and the denominator by 10.

$$\frac{845}{660}\times 5$$

Reduce the fraction \frac{845}{660} to lowest terms by extracting and canceling out 5.

$$\frac{169}{132}\times 5$$

Express \frac{169}{132}\times 5 as a single fraction.

$$\frac{169\times 5}{132}$$

Multiply 169 and 5 to get 845.

$$\frac{845}{132}$$

Factor

$$\frac{5 \cdot 13 ^ {2}}{3 \cdot 11 \cdot 2 ^ {2}} = 6\frac{53}{132} = 6.401515151515151$$