Solve 241/7div23/5

$$24 \frac { 1 } { 7 } \div 2 \frac { 3 } { 5 }$$

Evaluate

$$\frac{65}{7}\approx 9.285714286$$

Solution Steps

Divide \frac{24\times 7+1}{7} by \frac{2\times 5+3}{5} by multiplying \frac{24\times 7+1}{7} by the reciprocal of \frac{2\times 5+3}{5}.

$$\frac{\left(24\times 7+1\right)\times 5}{7\left(2\times 5+3\right)}$$

Multiply 24 and 7 to get 168.

$$\frac{\left(168+1\right)\times 5}{7\left(2\times 5+3\right)}$$

Add 168 and 1 to get 169.

$$\frac{169\times 5}{7\left(2\times 5+3\right)}$$

Multiply 169 and 5 to get 845.

$$\frac{845}{7\left(2\times 5+3\right)}$$

Multiply 2 and 5 to get 10.

$$\frac{845}{7\left(10+3\right)}$$

Add 10 and 3 to get 13.

$$\frac{845}{7\times 13}$$

Multiply 7 and 13 to get 91.

$$\frac{845}{91}$$

Reduce the fraction \frac{845}{91} to lowest terms by extracting and canceling out 13.

$$\frac{65}{7}$$

Factor

$$\frac{5 \cdot 13}{7} = 9\frac{2}{7} = 9.285714285714286$$