Solve 43/10-21/8

$$4 \frac { 3 } { 10 } - 2 \frac { 1 } { 8 }$$

Evaluate

$$\frac{87}{40}=2.175$$

Solution Steps

Multiply 4 and 10 to get 40.

$$\frac{40+3}{10}-\frac{2\times 8+1}{8}$$

Add 40 and 3 to get 43.

$$\frac{43}{10}-\frac{2\times 8+1}{8}$$

Multiply 2 and 8 to get 16.

$$\frac{43}{10}-\frac{16+1}{8}$$

Add 16 and 1 to get 17.

$$\frac{43}{10}-\frac{17}{8}$$

Least common multiple of 10 and 8 is 40. Convert \frac{43}{10} and \frac{17}{8} to fractions with denominator 40.

$$\frac{172}{40}-\frac{85}{40}$$

Since \frac{172}{40} and \frac{85}{40} have the same denominator, subtract them by subtracting their numerators.

$$\frac{172-85}{40}$$

Subtract 85 from 172 to get 87.

$$\frac{87}{40}$$

Factor

$$\frac{3 \cdot 29}{2 ^ {3} \cdot 5} = 2\frac{7}{40} = 2.175$$