Solve 21/4-31/14=

$$2 \frac { 1 } { 4 } - 3 \frac { 1 } { 14 } =$$

Evaluate

$$-\frac{23}{28}\approx -0.821428571$$

Solution Steps

Multiply 2 and 4 to get 8.

$$\frac{8+1}{4}-\frac{3\times 14+1}{14}$$

Add 8 and 1 to get 9.

$$\frac{9}{4}-\frac{3\times 14+1}{14}$$

Multiply 3 and 14 to get 42.

$$\frac{9}{4}-\frac{42+1}{14}$$

Add 42 and 1 to get 43.

$$\frac{9}{4}-\frac{43}{14}$$

Least common multiple of 4 and 14 is 28. Convert \frac{9}{4} and \frac{43}{14} to fractions with denominator 28.

$$\frac{63}{28}-\frac{86}{28}$$

Since \frac{63}{28} and \frac{86}{28} have the same denominator, subtract them by subtracting their numerators.

$$\frac{63-86}{28}$$

Subtract 86 from 63 to get -23.

$$-\frac{23}{28}$$

Factor

$$-\frac{23}{28} = -0.8214285714285714$$