Solve 25/8-49/6+33/4

$$2 \frac { 5 } { 8 } - 4 \frac { 9 } { 6 } + 3 \frac { 3 } { 4 }$$

Evaluate

$$\frac{7}{8}=0.875$$

Solution Steps

Multiply 2 and 8 to get 16.

$$\frac{16+5}{8}-\frac{4\times 6+9}{6}+\frac{3\times 4+3}{4}$$

Add 16 and 5 to get 21.

$$\frac{21}{8}-\frac{4\times 6+9}{6}+\frac{3\times 4+3}{4}$$

Multiply 4 and 6 to get 24.

$$\frac{21}{8}-\frac{24+9}{6}+\frac{3\times 4+3}{4}$$

Add 24 and 9 to get 33.

$$\frac{21}{8}-\frac{33}{6}+\frac{3\times 4+3}{4}$$

Reduce the fraction \frac{33}{6} to lowest terms by extracting and canceling out 3.

$$\frac{21}{8}-\frac{11}{2}+\frac{3\times 4+3}{4}$$

Least common multiple of 8 and 2 is 8. Convert \frac{21}{8} and \frac{11}{2} to fractions with denominator 8.

$$\frac{21}{8}-\frac{44}{8}+\frac{3\times 4+3}{4}$$

Since \frac{21}{8} and \frac{44}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{21-44}{8}+\frac{3\times 4+3}{4}$$

Subtract 44 from 21 to get -23.

$$-\frac{23}{8}+\frac{3\times 4+3}{4}$$

Multiply 3 and 4 to get 12.

$$-\frac{23}{8}+\frac{12+3}{4}$$

Add 12 and 3 to get 15.

$$-\frac{23}{8}+\frac{15}{4}$$

Least common multiple of 8 and 4 is 8. Convert -\frac{23}{8} and \frac{15}{4} to fractions with denominator 8.

$$-\frac{23}{8}+\frac{30}{8}$$

Since -\frac{23}{8} and \frac{30}{8} have the same denominator, add them by adding their numerators.

$$\frac{-23+30}{8}$$

Add -23 and 30 to get 7.

$$\frac{7}{8}$$

Factor

$$\frac{7}{2 ^ {3}} = 0.875$$