Solve 7/4:8/10

$$\frac { 7 } { 4 } : \frac { 8 } { 10 }$$

Evaluate

$$\frac{35}{16}=2.1875$$

Solution Steps

Divide \frac{7}{4} by \frac{8}{10} by multiplying \frac{7}{4} by the reciprocal of \frac{8}{10}.

$$\frac{7\times 10}{4\times 8}$$

Cancel out 2 in both numerator and denominator.

$$\frac{5\times 7}{2\times 8}$$

Multiply 5 and 7 to get 35.

$$\frac{35}{2\times 8}$$

Multiply 2 and 8 to get 16.

$$\frac{35}{16}$$

Factor

$$\frac{5 \cdot 7}{2 ^ {4}} = 2\frac{3}{16} = 2.1875$$