Solve 224/7-quad66/7

$$22 \frac { 4 } { 7 } - \quad 6 \frac { 6 } { 7 }$$

Evaluate

$$\frac{110}{7}\approx 15.714285714$$

Solution Steps

Multiply 22 and 7 to get 154.

$$\frac{154+4}{7}-\frac{6\times 7+6}{7}$$

Add 154 and 4 to get 158.

$$\frac{158}{7}-\frac{6\times 7+6}{7}$$

Multiply 6 and 7 to get 42.

$$\frac{158}{7}-\frac{42+6}{7}$$

Add 42 and 6 to get 48.

$$\frac{158}{7}-\frac{48}{7}$$

Since \frac{158}{7} and \frac{48}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{158-48}{7}$$

Subtract 48 from 158 to get 110.

$$\frac{110}{7}$$

Factor

$$\frac{2 \cdot 5 \cdot 11}{7} = 15\frac{5}{7} = 15.714285714285714$$