Solve 218/9-quad61/4

$$21 \frac { 8 } { 9 } - \quad 6 \frac { 1 } { 4 }$$

Evaluate

$$\frac{563}{36}\approx 15.638888889$$

Solution Steps

Multiply 21 and 9 to get 189.

$$\frac{189+8}{9}-\frac{6\times 4+1}{4}$$

Add 189 and 8 to get 197.

$$\frac{197}{9}-\frac{6\times 4+1}{4}$$

Multiply 6 and 4 to get 24.

$$\frac{197}{9}-\frac{24+1}{4}$$

Add 24 and 1 to get 25.

$$\frac{197}{9}-\frac{25}{4}$$

Least common multiple of 9 and 4 is 36. Convert \frac{197}{9} and \frac{25}{4} to fractions with denominator 36.

$$\frac{788}{36}-\frac{225}{36}$$

Since \frac{788}{36} and \frac{225}{36} have the same denominator, subtract them by subtracting their numerators.

$$\frac{788-225}{36}$$

Subtract 225 from 788 to get 563.

$$\frac{563}{36}$$

Factor

$$\frac{563}{2 ^ {2} \cdot 3 ^ {2}} = 15\frac{23}{36} = 15.63888888888889$$