Solve 17/24+8/9div3/32

$$\frac { 17 } { 24 } + \frac { 8 } { 9 } \div \frac { 3 } { 32 }$$

Evaluate

$$\frac{2201}{216}\approx 10.189814815$$

Solution Steps

Divide \frac{8}{9} by \frac{3}{32} by multiplying \frac{8}{9} by the reciprocal of \frac{3}{32}.

$$\frac{17}{24}+\frac{8}{9}\times \frac{32}{3}$$

Multiply \frac{8}{9} times \frac{32}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{17}{24}+\frac{8\times 32}{9\times 3}$$

Do the multiplications in the fraction \frac{8\times 32}{9\times 3}.

$$\frac{17}{24}+\frac{256}{27}$$

Least common multiple of 24 and 27 is 216. Convert \frac{17}{24} and \frac{256}{27} to fractions with denominator 216.

$$\frac{153}{216}+\frac{2048}{216}$$

Since \frac{153}{216} and \frac{2048}{216} have the same denominator, add them by adding their numerators.

$$\frac{153+2048}{216}$$

Add 153 and 2048 to get 2201.

$$\frac{2201}{216}$$

Factor

$$\frac{31 \cdot 71}{2 ^ {3} \cdot 3 ^ {3}} = 10\frac{41}{216} = 10.189814814814815$$