Solve (6.5*13/13-4.5)div12/3

$$( 6.5 \times 1 \frac { 3 } { 13 } - 4.5 ) \div 1 \frac { 2 } { 3 }$$

Evaluate

$$2.1$$

Solution Steps

Multiply 1 and 13 to get 13.

$$\frac{6.5\times \frac{13+3}{13}-4.5}{\frac{1\times 3+2}{3}}$$

Add 13 and 3 to get 16.

$$\frac{6.5\times \frac{16}{13}-4.5}{\frac{1\times 3+2}{3}}$$

Convert decimal number 6.5 to fraction \frac{65}{10}. Reduce the fraction \frac{65}{10} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{13}{2}\times \frac{16}{13}-4.5}{\frac{1\times 3+2}{3}}$$

Multiply \frac{13}{2} times \frac{16}{13} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{13\times 16}{2\times 13}-4.5}{\frac{1\times 3+2}{3}}$$

Cancel out 13 in both numerator and denominator.

$$\frac{\frac{16}{2}-4.5}{\frac{1\times 3+2}{3}}$$

Divide 16 by 2 to get 8.

$$\frac{8-4.5}{\frac{1\times 3+2}{3}}$$

Subtract 4.5 from 8 to get 3.5.

$$\frac{3.5}{\frac{1\times 3+2}{3}}$$

Multiply 1 and 3 to get 3.

$$\frac{3.5}{\frac{3+2}{3}}$$

Add 3 and 2 to get 5.

$$\frac{3.5}{\frac{5}{3}}$$

Divide 3.5 by \frac{5}{3} by multiplying 3.5 by the reciprocal of \frac{5}{3}.

$$3.5\times \frac{3}{5}$$

Convert decimal number 3.5 to fraction \frac{35}{10}. Reduce the fraction \frac{35}{10} to lowest terms by extracting and canceling out 5.

$$\frac{7}{2}\times \frac{3}{5}$$

Multiply \frac{7}{2} times \frac{3}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 3}{2\times 5}$$

Do the multiplications in the fraction \frac{7\times 3}{2\times 5}.

$$\frac{21}{10}$$

Factor

$$\frac{3 \cdot 7}{2 \cdot 5} = 2\frac{1}{10} = 2.1$$