Solve 5/24div(17/24*9/34)

$$\frac{ 5 }{ 24 } \div ( \frac{ 17 }{ 24 } \times \frac{ 9 }{ 34 } )$$

Evaluate

$$\frac{10}{9}\approx 1.111111111$$

Solution Steps

Multiply \frac{17}{24} times \frac{9}{34} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{5}{24}}{\frac{17\times 9}{24\times 34}}$$

Do the multiplications in the fraction \frac{17\times 9}{24\times 34}.

$$\frac{\frac{5}{24}}{\frac{153}{816}}$$

Reduce the fraction \frac{153}{816} to lowest terms by extracting and canceling out 51.

$$\frac{\frac{5}{24}}{\frac{3}{16}}$$

Divide \frac{5}{24} by \frac{3}{16} by multiplying \frac{5}{24} by the reciprocal of \frac{3}{16}.

$$\frac{5}{24}\times \frac{16}{3}$$

Multiply \frac{5}{24} times \frac{16}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 16}{24\times 3}$$

Do the multiplications in the fraction \frac{5\times 16}{24\times 3}.

$$\frac{80}{72}$$

Reduce the fraction \frac{80}{72} to lowest terms by extracting and canceling out 8.

$$\frac{10}{9}$$

Factor

$$\frac{2 \cdot 5}{3 ^ {2}} = 1\frac{1}{9} = 1.1111111111111112$$