Solve 1440*23/48-1440*25/48*048-1440*35/48*8/5

$$1440 \times \frac { 23 } { 48 } - 1440 \times \frac { 25 } { 48 } \times 048 - 1440 \times \frac { 35 } { 48 } \times \frac { 8 } { 5 }$$

Evaluate

$$-990$$

Solution Steps

Express 1440\times \frac{23}{48} as a single fraction.

$$\frac{1440\times 23}{48}-1440\times \frac{25}{48}\times 0\times 48-1440\times \frac{35}{48}\times \frac{8}{5}$$

Multiply 1440 and 23 to get 33120.

$$\frac{33120}{48}-1440\times \frac{25}{48}\times 0\times 48-1440\times \frac{35}{48}\times \frac{8}{5}$$

Divide 33120 by 48 to get 690.

$$690-1440\times \frac{25}{48}\times 0\times 48-1440\times \frac{35}{48}\times \frac{8}{5}$$

Express 1440\times \frac{25}{48} as a single fraction.

$$690-\frac{1440\times 25}{48}\times 0\times 48-1440\times \frac{35}{48}\times \frac{8}{5}$$

Multiply 1440 and 25 to get 36000.

$$690-\frac{36000}{48}\times 0\times 48-1440\times \frac{35}{48}\times \frac{8}{5}$$

Divide 36000 by 48 to get 750.

$$690-750\times 0\times 48-1440\times \frac{35}{48}\times \frac{8}{5}$$

Multiply 750 and 0 to get 0.

$$690-0\times 48-1440\times \frac{35}{48}\times \frac{8}{5}$$

Multiply 0 and 48 to get 0.

$$690-0-1440\times \frac{35}{48}\times \frac{8}{5}$$

Subtract 0 from 690 to get 690.

$$690-1440\times \frac{35}{48}\times \frac{8}{5}$$

Express 1440\times \frac{35}{48} as a single fraction.

$$690-\frac{1440\times 35}{48}\times \frac{8}{5}$$

Multiply 1440 and 35 to get 50400.

$$690-\frac{50400}{48}\times \frac{8}{5}$$

Divide 50400 by 48 to get 1050.

$$690-1050\times \frac{8}{5}$$

Express 1050\times \frac{8}{5} as a single fraction.

$$690-\frac{1050\times 8}{5}$$

Multiply 1050 and 8 to get 8400.

$$690-\frac{8400}{5}$$

Divide 8400 by 5 to get 1680.

$$690-1680$$

Subtract 1680 from 690 to get -990.

$$-990$$

Factor

$$-990$$