Solve 241/6:35/9

$$24 \frac { 1 } { 6 } : 3 \frac { 5 } { 9 }$$

Evaluate

$$\frac{435}{64}=6.796875$$

Solution Steps

Divide \frac{24\times 6+1}{6} by \frac{3\times 9+5}{9} by multiplying \frac{24\times 6+1}{6} by the reciprocal of \frac{3\times 9+5}{9}.

$$\frac{\left(24\times 6+1\right)\times 9}{6\left(3\times 9+5\right)}$$

Cancel out 3 in both numerator and denominator.

$$\frac{3\left(1+6\times 24\right)}{2\left(5+3\times 9\right)}$$

Multiply 6 and 24 to get 144.

$$\frac{3\left(1+144\right)}{2\left(5+3\times 9\right)}$$

Add 1 and 144 to get 145.

$$\frac{3\times 145}{2\left(5+3\times 9\right)}$$

Multiply 3 and 145 to get 435.

$$\frac{435}{2\left(5+3\times 9\right)}$$

Multiply 3 and 9 to get 27.

$$\frac{435}{2\left(5+27\right)}$$

Add 5 and 27 to get 32.

$$\frac{435}{2\times 32}$$

Multiply 2 and 32 to get 64.

$$\frac{435}{64}$$

Factor

$$\frac{3 \cdot 5 \cdot 29}{2 ^ {6}} = 6\frac{51}{64} = 6.796875$$