Solve -44/7-(45/16)

$$- 4 \frac { 4 } { 7 } - ( 4 \frac { 5 } { 16 } )$$

Evaluate

$$-\frac{995}{112}\approx -8.883928571$$

Solution Steps

Multiply 4 and 7 to get 28.

$$-\frac{28+4}{7}-\frac{4\times 16+5}{16}$$

Add 28 and 4 to get 32.

$$-\frac{32}{7}-\frac{4\times 16+5}{16}$$

Multiply 4 and 16 to get 64.

$$-\frac{32}{7}-\frac{64+5}{16}$$

Add 64 and 5 to get 69.

$$-\frac{32}{7}-\frac{69}{16}$$

Least common multiple of 7 and 16 is 112. Convert -\frac{32}{7} and \frac{69}{16} to fractions with denominator 112.

$$-\frac{512}{112}-\frac{483}{112}$$

Since -\frac{512}{112} and \frac{483}{112} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-512-483}{112}$$

Subtract 483 from -512 to get -995.

$$-\frac{995}{112}$$

Factor

$$-\frac{995}{112} = -8\frac{99}{112} = -8.883928571428571$$