Solve 94/5div51/5

$$9 \frac { 4 } { 5 } \div 5 \frac { 1 } { 5 }$$

Evaluate

$$\frac{49}{26}\approx 1.884615385$$

Solution Steps

Divide \frac{9\times 5+4}{5} by \frac{5\times 5+1}{5} by multiplying \frac{9\times 5+4}{5} by the reciprocal of \frac{5\times 5+1}{5}.

$$\frac{\left(9\times 5+4\right)\times 5}{5\left(5\times 5+1\right)}$$

Cancel out 5 in both numerator and denominator.

$$\frac{4+5\times 9}{1+5\times 5}$$

Multiply 5 and 9 to get 45.

$$\frac{4+45}{1+5\times 5}$$

Add 4 and 45 to get 49.

$$\frac{49}{1+5\times 5}$$

Multiply 5 and 5 to get 25.

$$\frac{49}{1+25}$$

Add 1 and 25 to get 26.

$$\frac{49}{26}$$

Factor

$$\frac{7 ^ {2}}{2 \cdot 13} = 1\frac{23}{26} = 1.8846153846153846$$