Solve 1440*23/48-1440*25/48*0.48-1440*25/48*8/35

$$1440 \times \frac { 23 } { 48 } - 1440 \times \frac { 25 } { 48 } \times 0.48 - 1440 \times \frac { 25 } { 48 } \times \frac { 8 } { 35 }$$

Evaluate

$$\frac{1110}{7}\approx 158.571428571$$

Solution Steps

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

$$\frac{1440\times 23}{48}-1440\times \frac{25}{48}\times 0.48-1440\times \frac{25}{48}\times \frac{8}{35}$$

Multiply 1440 and 23 to get 33120.

$$\frac{33120}{48}-1440\times \frac{25}{48}\times 0.48-1440\times \frac{25}{48}\times \frac{8}{35}$$

Divide 33120 by 48 to get 690.

$$690-1440\times \frac{25}{48}\times 0.48-1440\times \frac{25}{48}\times \frac{8}{35}$$

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

$$690-\frac{1440\times 25}{48}\times 0.48-1440\times \frac{25}{48}\times \frac{8}{35}$$

Multiply 1440 and 25 to get 36000.

$$690-\frac{36000}{48}\times 0.48-1440\times \frac{25}{48}\times \frac{8}{35}$$

Divide 36000 by 48 to get 750.

$$690-750\times 0.48-1440\times \frac{25}{48}\times \frac{8}{35}$$

Multiply 750 and 0.48 to get 360.

$$690-360-1440\times \frac{25}{48}\times \frac{8}{35}$$

Subtract 360 from 690 to get 330.

$$330-1440\times \frac{25}{48}\times \frac{8}{35}$$

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

$$330-\frac{1440\times 25}{48}\times \frac{8}{35}$$

Multiply 1440 and 25 to get 36000.

$$330-\frac{36000}{48}\times \frac{8}{35}$$

Divide 36000 by 48 to get 750.

$$330-750\times \frac{8}{35}$$

Express 750\times \frac{8}{35} as a single fraction.

$$330-\frac{750\times 8}{35}$$

Multiply 750 and 8 to get 6000.

$$330-\frac{6000}{35}$$

Reduce the fraction \frac{6000}{35} to lowest terms by extracting and canceling out 5.

$$330-\frac{1200}{7}$$

Convert 330 to fraction \frac{2310}{7}.

$$\frac{2310}{7}-\frac{1200}{7}$$

Since \frac{2310}{7} and \frac{1200}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2310-1200}{7}$$

Subtract 1200 from 2310 to get 1110.

$$\frac{1110}{7}$$

Factor

$$\frac{2 \cdot 3 \cdot 5 \cdot 37}{7} = 158\frac{4}{7} = 158.57142857142858$$