Solve 15/6div21/10

$$1 \frac { 5 } { 6 } \div 2 \frac { 1 } { 10 }$$

Evaluate

$$\frac{55}{63}\approx 0.873015873$$

Solution Steps

Divide \frac{1\times 6+5}{6} by \frac{2\times 10+1}{10} by multiplying \frac{1\times 6+5}{6} by the reciprocal of \frac{2\times 10+1}{10}.

$$\frac{\left(1\times 6+5\right)\times 10}{6\left(2\times 10+1\right)}$$

Cancel out 2 in both numerator and denominator.

$$\frac{5\left(5+6\right)}{3\left(1+2\times 10\right)}$$

Add 5 and 6 to get 11.

$$\frac{5\times 11}{3\left(1+2\times 10\right)}$$

Multiply 5 and 11 to get 55.

$$\frac{55}{3\left(1+2\times 10\right)}$$

Multiply 2 and 10 to get 20.

$$\frac{55}{3\left(1+20\right)}$$

Add 1 and 20 to get 21.

$$\frac{55}{3\times 21}$$

Multiply 3 and 21 to get 63.

$$\frac{55}{63}$$

Factor

$$\frac{5 \cdot 11}{3 ^ {2} \cdot 7} = 0.873015873015873$$