Solve 2.8div11/6

$$2.8 \div 1 \frac{ 1 }{ 6 }$$

Evaluate

$$2.4$$

Solution Steps

Divide 2.8 by \frac{1\times 6+1}{6} by multiplying 2.8 by the reciprocal of \frac{1\times 6+1}{6}.

$$\frac{2.8\times 6}{1\times 6+1}$$

Multiply 2.8 and 6 to get 16.8.

$$\frac{16.8}{1\times 6+1}$$

Multiply 1 and 6 to get 6.

$$\frac{16.8}{6+1}$$

Add 6 and 1 to get 7.

$$\frac{16.8}{7}$$

Expand \frac{16.8}{7} by multiplying both numerator and the denominator by 10.

$$\frac{168}{70}$$

Reduce the fraction \frac{168}{70} to lowest terms by extracting and canceling out 14.

$$\frac{12}{5}$$

Factor

$$\frac{3 \cdot 2 ^ {2}}{5} = 2\frac{2}{5} = 2.4$$