Solve (0.7+0.2+12/5)*1/2+1

$$(0.7+0.2+1 \frac{ 2 }{ 5 } ) \times \frac{ 1 }{ 2 } +1$$

Evaluate

$$2.15$$

Solution Steps

Add 0.7 and 0.2 to get 0.9.

$$\left(0.9+\frac{1\times 5+2}{5}\right)\times \frac{1}{2}+1$$

Multiply 1 and 5 to get 5.

$$\left(0.9+\frac{5+2}{5}\right)\times \frac{1}{2}+1$$

Add 5 and 2 to get 7.

$$\left(0.9+\frac{7}{5}\right)\times \frac{1}{2}+1$$

Convert decimal number 0.9 to fraction \frac{9}{10}.

$$\left(\frac{9}{10}+\frac{7}{5}\right)\times \frac{1}{2}+1$$

Least common multiple of 10 and 5 is 10. Convert \frac{9}{10} and \frac{7}{5} to fractions with denominator 10.

$$\left(\frac{9}{10}+\frac{14}{10}\right)\times \frac{1}{2}+1$$

Since \frac{9}{10} and \frac{14}{10} have the same denominator, add them by adding their numerators.

$$\frac{9+14}{10}\times \frac{1}{2}+1$$

Add 9 and 14 to get 23.

$$\frac{23}{10}\times \frac{1}{2}+1$$

Multiply \frac{23}{10} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{23\times 1}{10\times 2}+1$$

Do the multiplications in the fraction \frac{23\times 1}{10\times 2}.

$$\frac{23}{20}+1$$

Convert 1 to fraction \frac{20}{20}.

$$\frac{23}{20}+\frac{20}{20}$$

Since \frac{23}{20} and \frac{20}{20} have the same denominator, add them by adding their numerators.

$$\frac{23+20}{20}$$

Add 23 and 20 to get 43.

$$\frac{43}{20}$$

Factor

$$\frac{43}{5 \cdot 2 ^ {2}} = 2\frac{3}{20} = 2.15$$