Solve 5/8m-23/4quadquad5/9m-23/4

$$\frac { 5 } { 8 } m - 2 \frac { 3 } { 4 } \quad \quad \frac { 5 } { 9 } m - 2 \frac { 3 } { 4 }$$

Evaluate

$$-\frac{65m}{72}-\frac{11}{4}$$

Solution Steps

Multiply 2 and 4 to get 8.

$$\frac{5}{8}m-\frac{8+3}{4}\times \frac{5}{9}m-\frac{2\times 4+3}{4}$$

Add 8 and 3 to get 11.

$$\frac{5}{8}m-\frac{11}{4}\times \frac{5}{9}m-\frac{2\times 4+3}{4}$$

Multiply \frac{11}{4} times \frac{5}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5}{8}m-\frac{11\times 5}{4\times 9}m-\frac{2\times 4+3}{4}$$

Do the multiplications in the fraction \frac{11\times 5}{4\times 9}.

$$\frac{5}{8}m-\frac{55}{36}m-\frac{2\times 4+3}{4}$$

Combine \frac{5}{8}m and -\frac{55}{36}m to get -\frac{65}{72}m.

$$-\frac{65}{72}m-\frac{2\times 4+3}{4}$$

Multiply 2 and 4 to get 8.

$$-\frac{65}{72}m-\frac{8+3}{4}$$

Add 8 and 3 to get 11.

$$-\frac{65}{72}m-\frac{11}{4}$$

Expand

$$-\frac{65m}{72}-\frac{11}{4}$$

Solution Steps

Multiply 2 and 4 to get 8.

$$\frac{5}{8}m-\frac{8+3}{4}\times \frac{5}{9}m-\frac{2\times 4+3}{4}$$

Add 8 and 3 to get 11.

$$\frac{5}{8}m-\frac{11}{4}\times \frac{5}{9}m-\frac{2\times 4+3}{4}$$

Multiply \frac{11}{4} times \frac{5}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5}{8}m-\frac{11\times 5}{4\times 9}m-\frac{2\times 4+3}{4}$$

Do the multiplications in the fraction \frac{11\times 5}{4\times 9}.

$$\frac{5}{8}m-\frac{55}{36}m-\frac{2\times 4+3}{4}$$

Combine \frac{5}{8}m and -\frac{55}{36}m to get -\frac{65}{72}m.

$$-\frac{65}{72}m-\frac{2\times 4+3}{4}$$

Multiply 2 and 4 to get 8.

$$-\frac{65}{72}m-\frac{8+3}{4}$$

Add 8 and 3 to get 11.

$$-\frac{65}{72}m-\frac{11}{4}$$