Solve 1/2*1/2+2/2-7/3

$$\frac { 1 } { 2 } \cdot \frac { 1 } { 2 } + \frac { 2 } { 2 } - \frac { 7 } { 3 }$$

Evaluate

$$-\frac{13}{12}\approx -1.083333333$$

Solution Steps

Divide 2 by 2 to get 1.

$$\frac{1}{2}\times \frac{1}{2}+1-\frac{7}{3}$$

Multiply \frac{1}{2} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 1}{2\times 2}+1-\frac{7}{3}$$

Do the multiplications in the fraction \frac{1\times 1}{2\times 2}.

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

Convert 1 to fraction \frac{4}{4}.

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

Since \frac{1}{4} and \frac{4}{4} have the same denominator, add them by adding their numerators.

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

Add 1 and 4 to get 5.

$$\frac{5}{4}-\frac{7}{3}$$

Least common multiple of 4 and 3 is 12. Convert \frac{5}{4} and \frac{7}{3} to fractions with denominator 12.

$$\frac{15}{12}-\frac{28}{12}$$

Since \frac{15}{12} and \frac{28}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15-28}{12}$$

Subtract 28 from 15 to get -13.

$$-\frac{13}{12}$$

Factor

$$-\frac{13}{12} = -1\frac{1}{12} = -1.0833333333333333$$