Solve 5.5+-7/4--71/3=

$$5.5 + - \frac { 7 } { 4 } - - 7 \frac { 1 } { 3 } =$$

Evaluate

$$\frac{133}{12}\approx 11.083333333$$

Solution Steps

Convert decimal number 5.5 to fraction \frac{55}{10}. Reduce the fraction \frac{55}{10} to lowest terms by extracting and canceling out 5.

$$\frac{11}{2}-\frac{7}{4}-\left(-\frac{7\times 3+1}{3}\right)$$

Least common multiple of 2 and 4 is 4. Convert \frac{11}{2} and \frac{7}{4} to fractions with denominator 4.

$$\frac{22}{4}-\frac{7}{4}-\left(-\frac{7\times 3+1}{3}\right)$$

Since \frac{22}{4} and \frac{7}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{22-7}{4}-\left(-\frac{7\times 3+1}{3}\right)$$

Subtract 7 from 22 to get 15.

$$\frac{15}{4}-\left(-\frac{7\times 3+1}{3}\right)$$

Multiply 7 and 3 to get 21.

$$\frac{15}{4}-\left(-\frac{21+1}{3}\right)$$

Add 21 and 1 to get 22.

$$\frac{15}{4}-\left(-\frac{22}{3}\right)$$

The opposite of -\frac{22}{3} is \frac{22}{3}.

$$\frac{15}{4}+\frac{22}{3}$$

Least common multiple of 4 and 3 is 12. Convert \frac{15}{4} and \frac{22}{3} to fractions with denominator 12.

$$\frac{45}{12}+\frac{88}{12}$$

Since \frac{45}{12} and \frac{88}{12} have the same denominator, add them by adding their numerators.

$$\frac{45+88}{12}$$

Add 45 and 88 to get 133.

$$\frac{133}{12}$$

Factor

$$\frac{7 \cdot 19}{3 \cdot 2 ^ {2}} = 11\frac{1}{12} = 11.083333333333334$$