Solve 31/3*1.9+19.5div41/2

$$3 \frac { 1 } { 3 } \times 1.9 + 19.5 \div 4 \frac { 1 } { 2 }$$

Evaluate

$$\frac{32}{3}\approx 10.666666667$$

Solution Steps

Multiply 3 and 3 to get 9.

$$\frac{9+1}{3}\times 1.9+\frac{19.5}{\frac{4\times 2+1}{2}}$$

Add 9 and 1 to get 10.

$$\frac{10}{3}\times 1.9+\frac{19.5}{\frac{4\times 2+1}{2}}$$

Convert decimal number 1.9 to fraction \frac{19}{10}.

$$\frac{10}{3}\times \frac{19}{10}+\frac{19.5}{\frac{4\times 2+1}{2}}$$

Multiply \frac{10}{3} times \frac{19}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{10\times 19}{3\times 10}+\frac{19.5}{\frac{4\times 2+1}{2}}$$

Cancel out 10 in both numerator and denominator.

$$\frac{19}{3}+\frac{19.5}{\frac{4\times 2+1}{2}}$$

Divide 19.5 by \frac{4\times 2+1}{2} by multiplying 19.5 by the reciprocal of \frac{4\times 2+1}{2}.

$$\frac{19}{3}+\frac{19.5\times 2}{4\times 2+1}$$

Multiply 19.5 and 2 to get 39.

$$\frac{19}{3}+\frac{39}{4\times 2+1}$$

Multiply 4 and 2 to get 8.

$$\frac{19}{3}+\frac{39}{8+1}$$

Add 8 and 1 to get 9.

$$\frac{19}{3}+\frac{39}{9}$$

Reduce the fraction \frac{39}{9} to lowest terms by extracting and canceling out 3.

$$\frac{19}{3}+\frac{13}{3}$$

Since \frac{19}{3} and \frac{13}{3} have the same denominator, add them by adding their numerators.

$$\frac{19+13}{3}$$

Add 19 and 13 to get 32.

$$\frac{32}{3}$$

Factor

$$\frac{2 ^ {5}}{3} = 10\frac{2}{3} = 10.666666666666666$$