Solve 43/8div51/4

$$4 \frac { 3 } { 8 } \div 5 \frac { 1 } { 4 }$$

Evaluate

$$\frac{5}{6}\approx 0.833333333$$

Solution Steps

Divide \frac{4\times 8+3}{8} by \frac{5\times 4+1}{4} by multiplying \frac{4\times 8+3}{8} by the reciprocal of \frac{5\times 4+1}{4}.

$$\frac{\left(4\times 8+3\right)\times 4}{8\left(5\times 4+1\right)}$$

Cancel out 4 in both numerator and denominator.

$$\frac{3+4\times 8}{2\left(1+4\times 5\right)}$$

Multiply 4 and 8 to get 32.

$$\frac{3+32}{2\left(1+4\times 5\right)}$$

Add 3 and 32 to get 35.

$$\frac{35}{2\left(1+4\times 5\right)}$$

Multiply 4 and 5 to get 20.

$$\frac{35}{2\left(1+20\right)}$$

Add 1 and 20 to get 21.

$$\frac{35}{2\times 21}$$

Multiply 2 and 21 to get 42.

$$\frac{35}{42}$$

Reduce the fraction \frac{35}{42} to lowest terms by extracting and canceling out 7.

$$\frac{5}{6}$$

Factor

$$\frac{5}{2 \cdot 3} = 0.8333333333333334$$