Solve 10.5div31/3

$$10.5 \div 3 \frac { 1 } { 3 }$$

Evaluate

$$3.15$$

Solution Steps

Divide 10.5 by \frac{3\times 3+1}{3} by multiplying 10.5 by the reciprocal of \frac{3\times 3+1}{3}.

$$\frac{10.5\times 3}{3\times 3+1}$$

Multiply 10.5 and 3 to get 31.5.

$$\frac{31.5}{3\times 3+1}$$

Multiply 3 and 3 to get 9.

$$\frac{31.5}{9+1}$$

Add 9 and 1 to get 10.

$$\frac{31.5}{10}$$

Expand \frac{31.5}{10} by multiplying both numerator and the denominator by 10.

$$\frac{315}{100}$$

Reduce the fraction \frac{315}{100} to lowest terms by extracting and canceling out 5.

$$\frac{63}{20}$$

Factor

$$\frac{7 \cdot 3 ^ {2}}{5 \cdot 2 ^ {2}} = 3\frac{3}{20} = 3.15$$