Solve 31/2+24/5-43/4

$$3 \frac { 1 } { 2 } + 2 \frac { 4 } { 5 } - 4 \frac { 3 } { 4 }$$

Evaluate

$$\frac{31}{20}=1.55$$

Solution Steps

Multiply 3 and 2 to get 6.

$$\frac{6+1}{2}+\frac{2\times 5+4}{5}-\frac{4\times 4+3}{4}$$

Add 6 and 1 to get 7.

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

Multiply 2 and 5 to get 10.

$$\frac{7}{2}+\frac{10+4}{5}-\frac{4\times 4+3}{4}$$

Add 10 and 4 to get 14.

$$\frac{7}{2}+\frac{14}{5}-\frac{4\times 4+3}{4}$$

Least common multiple of 2 and 5 is 10. Convert \frac{7}{2} and \frac{14}{5} to fractions with denominator 10.

$$\frac{35}{10}+\frac{28}{10}-\frac{4\times 4+3}{4}$$

Since \frac{35}{10} and \frac{28}{10} have the same denominator, add them by adding their numerators.

$$\frac{35+28}{10}-\frac{4\times 4+3}{4}$$

Add 35 and 28 to get 63.

$$\frac{63}{10}-\frac{4\times 4+3}{4}$$

Multiply 4 and 4 to get 16.

$$\frac{63}{10}-\frac{16+3}{4}$$

Add 16 and 3 to get 19.

$$\frac{63}{10}-\frac{19}{4}$$

Least common multiple of 10 and 4 is 20. Convert \frac{63}{10} and \frac{19}{4} to fractions with denominator 20.

$$\frac{126}{20}-\frac{95}{20}$$

Since \frac{126}{20} and \frac{95}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{126-95}{20}$$

Subtract 95 from 126 to get 31.

$$\frac{31}{20}$$

Factor

$$\frac{31}{2 ^ {2} \cdot 5} = 1\frac{11}{20} = 1.55$$