Solve 437/8:2/5

$$43 \frac { 7 } { 8 } : \frac { 2 } { 5 }$$

Evaluate

$$\frac{1755}{16}=109.6875$$

Solution Steps

Divide \frac{43\times 8+7}{8} by \frac{2}{5} by multiplying \frac{43\times 8+7}{8} by the reciprocal of \frac{2}{5}.

$$\frac{\left(43\times 8+7\right)\times 5}{8\times 2}$$

Multiply 43 and 8 to get 344.

$$\frac{\left(344+7\right)\times 5}{8\times 2}$$

Add 344 and 7 to get 351.

$$\frac{351\times 5}{8\times 2}$$

Multiply 351 and 5 to get 1755.

$$\frac{1755}{8\times 2}$$

Multiply 8 and 2 to get 16.

$$\frac{1755}{16}$$

Factor

$$\frac{3 ^ {3} \cdot 5 \cdot 13}{2 ^ {4}} = 109\frac{11}{16} = 109.6875$$