Solve 1.3+1/2div3/10+0.2-1/2=

$$1.3+ \frac{ 1 }{ 2 } \div \frac{ 3 }{ 10 } +0.2- \frac{ 1 }{ 2 } =$$

Evaluate

$$\frac{8}{3}\approx 2.666666667$$

Solution Steps

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

$$1.3+\frac{1}{2}\times \frac{10}{3}+0.2-\frac{1}{2}$$

Multiply \frac{1}{2} times \frac{10}{3} by multiplying numerator times numerator and denominator times denominator.

$$1.3+\frac{1\times 10}{2\times 3}+0.2-\frac{1}{2}$$

Do the multiplications in the fraction \frac{1\times 10}{2\times 3}.

$$1.3+\frac{10}{6}+0.2-\frac{1}{2}$$

Reduce the fraction \frac{10}{6} to lowest terms by extracting and canceling out 2.

$$1.3+\frac{5}{3}+0.2-\frac{1}{2}$$

Convert decimal number 1.3 to fraction \frac{13}{10}.

$$\frac{13}{10}+\frac{5}{3}+0.2-\frac{1}{2}$$

Least common multiple of 10 and 3 is 30. Convert \frac{13}{10} and \frac{5}{3} to fractions with denominator 30.

$$\frac{39}{30}+\frac{50}{30}+0.2-\frac{1}{2}$$

Since \frac{39}{30} and \frac{50}{30} have the same denominator, add them by adding their numerators.

$$\frac{39+50}{30}+0.2-\frac{1}{2}$$

Add 39 and 50 to get 89.

$$\frac{89}{30}+0.2-\frac{1}{2}$$

Convert decimal number 0.2 to fraction \frac{2}{10}. Reduce the fraction \frac{2}{10} to lowest terms by extracting and canceling out 2.

$$\frac{89}{30}+\frac{1}{5}-\frac{1}{2}$$

Least common multiple of 30 and 5 is 30. Convert \frac{89}{30} and \frac{1}{5} to fractions with denominator 30.

$$\frac{89}{30}+\frac{6}{30}-\frac{1}{2}$$

Since \frac{89}{30} and \frac{6}{30} have the same denominator, add them by adding their numerators.

$$\frac{89+6}{30}-\frac{1}{2}$$

Add 89 and 6 to get 95.

$$\frac{95}{30}-\frac{1}{2}$$

Reduce the fraction \frac{95}{30} to lowest terms by extracting and canceling out 5.

$$\frac{19}{6}-\frac{1}{2}$$

Least common multiple of 6 and 2 is 6. Convert \frac{19}{6} and \frac{1}{2} to fractions with denominator 6.

$$\frac{19}{6}-\frac{3}{6}$$

Since \frac{19}{6} and \frac{3}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{19-3}{6}$$

Subtract 3 from 19 to get 16.

$$\frac{16}{6}$$

Reduce the fraction \frac{16}{6} to lowest terms by extracting and canceling out 2.

$$\frac{8}{3}$$

Factor

$$\frac{2 ^ {3}}{3} = 2\frac{2}{3} = 2.6666666666666665$$