Solve 93/4div91/4=

$$9 \frac { 3 } { 4 } \div 9 \frac { 1 } { 4 } =$$

Evaluate

$$\frac{39}{37}\approx 1.054054054$$

Solution Steps

Divide \frac{9\times 4+3}{4} by \frac{9\times 4+1}{4} by multiplying \frac{9\times 4+3}{4} by the reciprocal of \frac{9\times 4+1}{4}.

$$\frac{\left(9\times 4+3\right)\times 4}{4\left(9\times 4+1\right)}$$

Cancel out 4 in both numerator and denominator.

$$\frac{3+4\times 9}{1+4\times 9}$$

Multiply 4 and 9 to get 36.

$$\frac{3+36}{1+4\times 9}$$

Add 3 and 36 to get 39.

$$\frac{39}{1+4\times 9}$$

Multiply 4 and 9 to get 36.

$$\frac{39}{1+36}$$

Add 1 and 36 to get 37.

$$\frac{39}{37}$$

Factor

$$\frac{3 \cdot 13}{37} = 1\frac{2}{37} = 1.054054054054054$$