Solve 1.75+-2/3--7/4--5/3

$$1.75+- \frac{ 2 }{ 3 } -- \frac{ 7 }{ 4 } -- \frac{ 5 }{ 3 }$$

Evaluate

$$4.5$$

Solution Steps

Convert decimal number 1.75 to fraction \frac{175}{100}. Reduce the fraction \frac{175}{100} to lowest terms by extracting and canceling out 25.

$$\frac{7}{4}-\frac{2}{3}-\left(-\frac{7}{4}\right)-\left(-\frac{5}{3}\right)$$

Least common multiple of 4 and 3 is 12. Convert \frac{7}{4} and \frac{2}{3} to fractions with denominator 12.

$$\frac{21}{12}-\frac{8}{12}-\left(-\frac{7}{4}\right)-\left(-\frac{5}{3}\right)$$

Since \frac{21}{12} and \frac{8}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{21-8}{12}-\left(-\frac{7}{4}\right)-\left(-\frac{5}{3}\right)$$

Subtract 8 from 21 to get 13.

$$\frac{13}{12}-\left(-\frac{7}{4}\right)-\left(-\frac{5}{3}\right)$$

The opposite of -\frac{7}{4} is \frac{7}{4}.

$$\frac{13}{12}+\frac{7}{4}-\left(-\frac{5}{3}\right)$$

Least common multiple of 12 and 4 is 12. Convert \frac{13}{12} and \frac{7}{4} to fractions with denominator 12.

$$\frac{13}{12}+\frac{21}{12}-\left(-\frac{5}{3}\right)$$

Since \frac{13}{12} and \frac{21}{12} have the same denominator, add them by adding their numerators.

$$\frac{13+21}{12}-\left(-\frac{5}{3}\right)$$

Add 13 and 21 to get 34.

$$\frac{34}{12}-\left(-\frac{5}{3}\right)$$

Reduce the fraction \frac{34}{12} to lowest terms by extracting and canceling out 2.

$$\frac{17}{6}-\left(-\frac{5}{3}\right)$$

The opposite of -\frac{5}{3} is \frac{5}{3}.

$$\frac{17}{6}+\frac{5}{3}$$

Least common multiple of 6 and 3 is 6. Convert \frac{17}{6} and \frac{5}{3} to fractions with denominator 6.

$$\frac{17}{6}+\frac{10}{6}$$

Since \frac{17}{6} and \frac{10}{6} have the same denominator, add them by adding their numerators.

$$\frac{17+10}{6}$$

Add 17 and 10 to get 27.

$$\frac{27}{6}$$

Reduce the fraction \frac{27}{6} to lowest terms by extracting and canceling out 3.

$$\frac{9}{2}$$

Factor

$$\frac{3 ^ {2}}{2} = 4\frac{1}{2} = 4.5$$