Solve 1.2div3/5-(-17/10)=

$$1.2 \div \frac { 3 } { 5 } - ( - 1 \frac { 7 } { 10 } ) =$$

Evaluate

$$3.7$$

Solution Steps

Divide 1.2 by \frac{3}{5} by multiplying 1.2 by the reciprocal of \frac{3}{5}.

$$1.2\times \frac{5}{3}-\left(-\frac{1\times 10+7}{10}\right)$$

Convert decimal number 1.2 to fraction \frac{12}{10}. Reduce the fraction \frac{12}{10} to lowest terms by extracting and canceling out 2.

$$\frac{6}{5}\times \frac{5}{3}-\left(-\frac{1\times 10+7}{10}\right)$$

Multiply \frac{6}{5} times \frac{5}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{6\times 5}{5\times 3}-\left(-\frac{1\times 10+7}{10}\right)$$

Cancel out 5 in both numerator and denominator.

$$\frac{6}{3}-\left(-\frac{1\times 10+7}{10}\right)$$

Divide 6 by 3 to get 2.

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

Multiply 1 and 10 to get 10.

$$2-\left(-\frac{10+7}{10}\right)$$

Add 10 and 7 to get 17.

$$2-\left(-\frac{17}{10}\right)$$

The opposite of -\frac{17}{10} is \frac{17}{10}.

$$2+\frac{17}{10}$$

Convert 2 to fraction \frac{20}{10}.

$$\frac{20}{10}+\frac{17}{10}$$

Since \frac{20}{10} and \frac{17}{10} have the same denominator, add them by adding their numerators.

$$\frac{20+17}{10}$$

Add 20 and 17 to get 37.

$$\frac{37}{10}$$

Factor

$$\frac{37}{2 \cdot 5} = 3\frac{7}{10} = 3.7$$