Solve 35000(1+50/12*16/100)-12000(1+50/1200*10.73)-13000(1+50/1200*4.43)

$$35000 ( 1 + \frac { 50 } { 12 } \times \frac { 16 } { 100 } ) - 12000 ( 1 + \frac { 50 } { 1200 } \times 10.73 ) - 13000 ( 1 + \frac { 50 } { 1200 } \times 4.43 )$$

Evaluate

$$25568.75$$

Solution Steps

Reduce the fraction \frac{50}{12} to lowest terms by extracting and canceling out 2.

$$35000\left(1+\frac{25}{6}\times \frac{16}{100}\right)-12000\left(1+\frac{50}{1200}\times 10.73\right)-13000\left(1+\frac{50}{1200}\times 4.43\right)$$

Reduce the fraction \frac{16}{100} to lowest terms by extracting and canceling out 4.

$$35000\left(1+\frac{25}{6}\times \frac{4}{25}\right)-12000\left(1+\frac{50}{1200}\times 10.73\right)-13000\left(1+\frac{50}{1200}\times 4.43\right)$$

Multiply \frac{25}{6} times \frac{4}{25} by multiplying numerator times numerator and denominator times denominator.

$$35000\left(1+\frac{25\times 4}{6\times 25}\right)-12000\left(1+\frac{50}{1200}\times 10.73\right)-13000\left(1+\frac{50}{1200}\times 4.43\right)$$

Cancel out 25 in both numerator and denominator.

$$35000\left(1+\frac{4}{6}\right)-12000\left(1+\frac{50}{1200}\times 10.73\right)-13000\left(1+\frac{50}{1200}\times 4.43\right)$$

Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.

$$35000\left(1+\frac{2}{3}\right)-12000\left(1+\frac{50}{1200}\times 10.73\right)-13000\left(1+\frac{50}{1200}\times 4.43\right)$$

Convert 1 to fraction \frac{3}{3}.

$$35000\left(\frac{3}{3}+\frac{2}{3}\right)-12000\left(1+\frac{50}{1200}\times 10.73\right)-13000\left(1+\frac{50}{1200}\times 4.43\right)$$

Since \frac{3}{3} and \frac{2}{3} have the same denominator, add them by adding their numerators.

$$35000\times \frac{3+2}{3}-12000\left(1+\frac{50}{1200}\times 10.73\right)-13000\left(1+\frac{50}{1200}\times 4.43\right)$$

Add 3 and 2 to get 5.

$$35000\times \frac{5}{3}-12000\left(1+\frac{50}{1200}\times 10.73\right)-13000\left(1+\frac{50}{1200}\times 4.43\right)$$

Express 35000\times \frac{5}{3} as a single fraction.

$$\frac{35000\times 5}{3}-12000\left(1+\frac{50}{1200}\times 10.73\right)-13000\left(1+\frac{50}{1200}\times 4.43\right)$$

Multiply 35000 and 5 to get 175000.

$$\frac{175000}{3}-12000\left(1+\frac{50}{1200}\times 10.73\right)-13000\left(1+\frac{50}{1200}\times 4.43\right)$$

Reduce the fraction \frac{50}{1200} to lowest terms by extracting and canceling out 50.

$$\frac{175000}{3}-12000\left(1+\frac{1}{24}\times 10.73\right)-13000\left(1+\frac{50}{1200}\times 4.43\right)$$

Convert decimal number 10.73 to fraction \frac{1073}{100}.

$$\frac{175000}{3}-12000\left(1+\frac{1}{24}\times \frac{1073}{100}\right)-13000\left(1+\frac{50}{1200}\times 4.43\right)$$

Multiply \frac{1}{24} times \frac{1073}{100} by multiplying numerator times numerator and denominator times denominator.

$$\frac{175000}{3}-12000\left(1+\frac{1\times 1073}{24\times 100}\right)-13000\left(1+\frac{50}{1200}\times 4.43\right)$$

Do the multiplications in the fraction \frac{1\times 1073}{24\times 100}.

$$\frac{175000}{3}-12000\left(1+\frac{1073}{2400}\right)-13000\left(1+\frac{50}{1200}\times 4.43\right)$$

Convert 1 to fraction \frac{2400}{2400}.

$$\frac{175000}{3}-12000\left(\frac{2400}{2400}+\frac{1073}{2400}\right)-13000\left(1+\frac{50}{1200}\times 4.43\right)$$

Since \frac{2400}{2400} and \frac{1073}{2400} have the same denominator, add them by adding their numerators.

$$\frac{175000}{3}-12000\times \frac{2400+1073}{2400}-13000\left(1+\frac{50}{1200}\times 4.43\right)$$

Add 2400 and 1073 to get 3473.

$$\frac{175000}{3}-12000\times \frac{3473}{2400}-13000\left(1+\frac{50}{1200}\times 4.43\right)$$

Express 12000\times \frac{3473}{2400} as a single fraction.

$$\frac{175000}{3}-\frac{12000\times 3473}{2400}-13000\left(1+\frac{50}{1200}\times 4.43\right)$$

Multiply 12000 and 3473 to get 41676000.

$$\frac{175000}{3}-\frac{41676000}{2400}-13000\left(1+\frac{50}{1200}\times 4.43\right)$$

Divide 41676000 by 2400 to get 17365.

$$\frac{175000}{3}-17365-13000\left(1+\frac{50}{1200}\times 4.43\right)$$

Convert 17365 to fraction \frac{52095}{3}.

$$\frac{175000}{3}-\frac{52095}{3}-13000\left(1+\frac{50}{1200}\times 4.43\right)$$

Since \frac{175000}{3} and \frac{52095}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{175000-52095}{3}-13000\left(1+\frac{50}{1200}\times 4.43\right)$$

Subtract 52095 from 175000 to get 122905.

$$\frac{122905}{3}-13000\left(1+\frac{50}{1200}\times 4.43\right)$$

Reduce the fraction \frac{50}{1200} to lowest terms by extracting and canceling out 50.

$$\frac{122905}{3}-13000\left(1+\frac{1}{24}\times 4.43\right)$$

Convert decimal number 4.43 to fraction \frac{443}{100}.

$$\frac{122905}{3}-13000\left(1+\frac{1}{24}\times \frac{443}{100}\right)$$

Multiply \frac{1}{24} times \frac{443}{100} by multiplying numerator times numerator and denominator times denominator.

$$\frac{122905}{3}-13000\left(1+\frac{1\times 443}{24\times 100}\right)$$

Do the multiplications in the fraction \frac{1\times 443}{24\times 100}.

$$\frac{122905}{3}-13000\left(1+\frac{443}{2400}\right)$$

Convert 1 to fraction \frac{2400}{2400}.

$$\frac{122905}{3}-13000\left(\frac{2400}{2400}+\frac{443}{2400}\right)$$

Since \frac{2400}{2400} and \frac{443}{2400} have the same denominator, add them by adding their numerators.

$$\frac{122905}{3}-13000\times \frac{2400+443}{2400}$$

Add 2400 and 443 to get 2843.

$$\frac{122905}{3}-13000\times \frac{2843}{2400}$$

Express 13000\times \frac{2843}{2400} as a single fraction.

$$\frac{122905}{3}-\frac{13000\times 2843}{2400}$$

Multiply 13000 and 2843 to get 36959000.

$$\frac{122905}{3}-\frac{36959000}{2400}$$

Reduce the fraction \frac{36959000}{2400} to lowest terms by extracting and canceling out 200.

$$\frac{122905}{3}-\frac{184795}{12}$$

Least common multiple of 3 and 12 is 12. Convert \frac{122905}{3} and \frac{184795}{12} to fractions with denominator 12.

$$\frac{491620}{12}-\frac{184795}{12}$$

Since \frac{491620}{12} and \frac{184795}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{491620-184795}{12}$$

Subtract 184795 from 491620 to get 306825.

$$\frac{306825}{12}$$

Reduce the fraction \frac{306825}{12} to lowest terms by extracting and canceling out 3.

$$\frac{102275}{4}$$

Factor

$$\frac{4091 \cdot 5 ^ {2}}{2 ^ {2}} = 25568\frac{3}{4} = 25568.75$$