Solve -6.75+(41/6+23/4)

$$- 6.75 + ( 4 \frac { 1 } { 6 } + 2 \frac { 3 } { 4 } )$$

Evaluate

$$\frac{1}{6}\approx 0.166666667$$

Solution Steps

Multiply 4 and 6 to get 24.

$$-6.75+\frac{24+1}{6}+\frac{2\times 4+3}{4}$$

Add 24 and 1 to get 25.

$$-6.75+\frac{25}{6}+\frac{2\times 4+3}{4}$$

Convert decimal number -6.75 to fraction -\frac{675}{100}. Reduce the fraction -\frac{675}{100} to lowest terms by extracting and canceling out 25.

$$-\frac{27}{4}+\frac{25}{6}+\frac{2\times 4+3}{4}$$

Least common multiple of 4 and 6 is 12. Convert -\frac{27}{4} and \frac{25}{6} to fractions with denominator 12.

$$-\frac{81}{12}+\frac{50}{12}+\frac{2\times 4+3}{4}$$

Since -\frac{81}{12} and \frac{50}{12} have the same denominator, add them by adding their numerators.

$$\frac{-81+50}{12}+\frac{2\times 4+3}{4}$$

Add -81 and 50 to get -31.

$$-\frac{31}{12}+\frac{2\times 4+3}{4}$$

Multiply 2 and 4 to get 8.

$$-\frac{31}{12}+\frac{8+3}{4}$$

Add 8 and 3 to get 11.

$$-\frac{31}{12}+\frac{11}{4}$$

Least common multiple of 12 and 4 is 12. Convert -\frac{31}{12} and \frac{11}{4} to fractions with denominator 12.

$$-\frac{31}{12}+\frac{33}{12}$$

Since -\frac{31}{12} and \frac{33}{12} have the same denominator, add them by adding their numerators.

$$\frac{-31+33}{12}$$

Add -31 and 33 to get 2.

$$\frac{2}{12}$$

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

$$\frac{1}{6}$$

Factor

$$\frac{1}{2 \cdot 3} = 0.16666666666666666$$