Solve (7.9-3.06div0.68)*1.5

$$(7.9-3.06 \div 0.68) \times 1.5$$

Evaluate

$$5.1$$

Solution Steps

Expand \frac{3.06}{0.68} by multiplying both numerator and the denominator by 100.

$$\left(7.9-\frac{306}{68}\right)\times 1.5$$

Reduce the fraction \frac{306}{68} to lowest terms by extracting and canceling out 34.

$$\left(7.9-\frac{9}{2}\right)\times 1.5$$

Convert decimal number 7.9 to fraction \frac{79}{10}.

$$\left(\frac{79}{10}-\frac{9}{2}\right)\times 1.5$$

Least common multiple of 10 and 2 is 10. Convert \frac{79}{10} and \frac{9}{2} to fractions with denominator 10.

$$\left(\frac{79}{10}-\frac{45}{10}\right)\times 1.5$$

Since \frac{79}{10} and \frac{45}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{79-45}{10}\times 1.5$$

Subtract 45 from 79 to get 34.

$$\frac{34}{10}\times 1.5$$

Reduce the fraction \frac{34}{10} to lowest terms by extracting and canceling out 2.

$$\frac{17}{5}\times 1.5$$

Convert decimal number 1.5 to fraction \frac{15}{10}. Reduce the fraction \frac{15}{10} to lowest terms by extracting and canceling out 5.

$$\frac{17}{5}\times \frac{3}{2}$$

Multiply \frac{17}{5} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{17\times 3}{5\times 2}$$

Do the multiplications in the fraction \frac{17\times 3}{5\times 2}.

$$\frac{51}{10}$$

Factor

$$\frac{3 \cdot 17}{2 \cdot 5} = 5\frac{1}{10} = 5.1$$