Solve 101/2div4/3

$$10 \frac{ 1 }{ 2 } \div \frac{ 4 }{ 3 }$$

Evaluate

$$\frac{63}{8}=7.875$$

Solution Steps

Divide \frac{10\times 2+1}{2} by \frac{4}{3} by multiplying \frac{10\times 2+1}{2} by the reciprocal of \frac{4}{3}.

$$\frac{\left(10\times 2+1\right)\times 3}{2\times 4}$$

Multiply 10 and 2 to get 20.

$$\frac{\left(20+1\right)\times 3}{2\times 4}$$

Add 20 and 1 to get 21.

$$\frac{21\times 3}{2\times 4}$$

Multiply 21 and 3 to get 63.

$$\frac{63}{2\times 4}$$

Multiply 2 and 4 to get 8.

$$\frac{63}{8}$$

Factor

$$\frac{3 ^ {2} \cdot 7}{2 ^ {3}} = 7\frac{7}{8} = 7.875$$