Solve 206/13div57/13=

$$20 \frac { 6 } { 13 } \div 5 \frac { 7 } { 13 } =$$

Evaluate

$$\frac{133}{36}\approx 3.694444444$$

Solution Steps

Divide \frac{20\times 13+6}{13} by \frac{5\times 13+7}{13} by multiplying \frac{20\times 13+6}{13} by the reciprocal of \frac{5\times 13+7}{13}.

$$\frac{\left(20\times 13+6\right)\times 13}{13\left(5\times 13+7\right)}$$

Cancel out 13 in both numerator and denominator.

$$\frac{6+13\times 20}{7+5\times 13}$$

Multiply 13 and 20 to get 260.

$$\frac{6+260}{7+5\times 13}$$

Add 6 and 260 to get 266.

$$\frac{266}{7+5\times 13}$$

Multiply 5 and 13 to get 65.

$$\frac{266}{7+65}$$

Add 7 and 65 to get 72.

$$\frac{266}{72}$$

Reduce the fraction \frac{266}{72} to lowest terms by extracting and canceling out 2.

$$\frac{133}{36}$$

Factor

$$\frac{7 \cdot 19}{2 ^ {2} \cdot 3 ^ {2}} = 3\frac{25}{36} = 3.6944444444444446$$