Solve 31/10div23/5

$$3 \frac { 1 } { 10 } \div 2 \frac { 3 } { 5 }$$

Evaluate

$$\frac{31}{26}\approx 1.192307692$$

Solution Steps

Divide \frac{3\times 10+1}{10} by \frac{2\times 5+3}{5} by multiplying \frac{3\times 10+1}{10} by the reciprocal of \frac{2\times 5+3}{5}.

$$\frac{\left(3\times 10+1\right)\times 5}{10\left(2\times 5+3\right)}$$

Cancel out 5 in both numerator and denominator.

$$\frac{1+3\times 10}{2\left(3+2\times 5\right)}$$

Multiply 3 and 10 to get 30.

$$\frac{1+30}{2\left(3+2\times 5\right)}$$

Add 1 and 30 to get 31.

$$\frac{31}{2\left(3+2\times 5\right)}$$

Multiply 2 and 5 to get 10.

$$\frac{31}{2\left(3+10\right)}$$

Add 3 and 10 to get 13.

$$\frac{31}{2\times 13}$$

Multiply 2 and 13 to get 26.

$$\frac{31}{26}$$

Factor

$$\frac{31}{2 \cdot 13} = 1\frac{5}{26} = 1.1923076923076923$$