Solve 41/3div51/5

$$4 \frac { 1 } { 3 } \div 5 \frac { 1 } { 5 }$$

Evaluate

$$\frac{5}{6}\approx 0.833333333$$

Solution Steps

Divide \frac{4\times 3+1}{3} by \frac{5\times 5+1}{5} by multiplying \frac{4\times 3+1}{3} by the reciprocal of \frac{5\times 5+1}{5}.

$$\frac{\left(4\times 3+1\right)\times 5}{3\left(5\times 5+1\right)}$$

Multiply 4 and 3 to get 12.

$$\frac{\left(12+1\right)\times 5}{3\left(5\times 5+1\right)}$$

Add 12 and 1 to get 13.

$$\frac{13\times 5}{3\left(5\times 5+1\right)}$$

Multiply 13 and 5 to get 65.

$$\frac{65}{3\left(5\times 5+1\right)}$$

Multiply 5 and 5 to get 25.

$$\frac{65}{3\left(25+1\right)}$$

Add 25 and 1 to get 26.

$$\frac{65}{3\times 26}$$

Multiply 3 and 26 to get 78.

$$\frac{65}{78}$$

Reduce the fraction \frac{65}{78} to lowest terms by extracting and canceling out 13.

$$\frac{5}{6}$$

Factor

$$\frac{5}{2 \cdot 3} = 0.8333333333333334$$