Solve 3.5*4/3-19/6

$$3.5 \times \frac{ 4 }{ 3 } - \frac{ 19 }{ 6 }$$

Evaluate

$$1.5$$

Solution Steps

Convert decimal number 3.5 to fraction \frac{35}{10}. Reduce the fraction \frac{35}{10} to lowest terms by extracting and canceling out 5.

$$\frac{7}{2}\times \frac{4}{3}-\frac{19}{6}$$

Multiply \frac{7}{2} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 4}{2\times 3}-\frac{19}{6}$$

Do the multiplications in the fraction \frac{7\times 4}{2\times 3}.

$$\frac{28}{6}-\frac{19}{6}$$

Since \frac{28}{6} and \frac{19}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{28-19}{6}$$

Subtract 19 from 28 to get 9.

$$\frac{9}{6}$$

Reduce the fraction \frac{9}{6} to lowest terms by extracting and canceling out 3.

$$\frac{3}{2}$$

Factor

$$\frac{3}{2} = 1\frac{1}{2} = 1.5$$