Solve 93/4div41/8

$$9 \frac{ 3 }{ 4 } \div 4 \frac{ 1 }{ 8 }$$

Evaluate

$$\frac{26}{11}\approx 2.363636364$$

Solution Steps

Divide \frac{9\times 4+3}{4} by \frac{4\times 8+1}{8} by multiplying \frac{9\times 4+3}{4} by the reciprocal of \frac{4\times 8+1}{8}.

$$\frac{\left(9\times 4+3\right)\times 8}{4\left(4\times 8+1\right)}$$

Cancel out 4 in both numerator and denominator.

$$\frac{2\left(3+4\times 9\right)}{1+4\times 8}$$

Multiply 4 and 9 to get 36.

$$\frac{2\left(3+36\right)}{1+4\times 8}$$

Add 3 and 36 to get 39.

$$\frac{2\times 39}{1+4\times 8}$$

Multiply 2 and 39 to get 78.

$$\frac{78}{1+4\times 8}$$

Multiply 4 and 8 to get 32.

$$\frac{78}{1+32}$$

Add 1 and 32 to get 33.

$$\frac{78}{33}$$

Reduce the fraction \frac{78}{33} to lowest terms by extracting and canceling out 3.

$$\frac{26}{11}$$

Factor

$$\frac{2 \cdot 13}{11} = 2\frac{4}{11} = 2.3636363636363638$$