Solve n=(0.99*0.83)-3.48(6/80)-0.0056(60)^2/800

$$n = ( 0.99 \times 0.83 ) - 3.48 ( \frac { 6 } { 80 } ) - 0.0056 \frac { ( 60 ) ^ { 2 } } { 800 }$$

Solve for n

$$n=0.5355$$

Steps for Solving Linear Equation

Multiply 0.99 and 0.83 to get 0.8217.

$$n=0.8217-3.48\times \frac{6}{80}-0.0056\times \frac{60^{2}}{800}$$

Reduce the fraction \frac{6}{80} to lowest terms by extracting and canceling out 2.

$$n=0.8217-3.48\times \frac{3}{40}-0.0056\times \frac{60^{2}}{800}$$

Convert decimal number 3.48 to fraction \frac{348}{100}. Reduce the fraction \frac{348}{100} to lowest terms by extracting and canceling out 4.

$$n=0.8217-\frac{87}{25}\times \frac{3}{40}-0.0056\times \frac{60^{2}}{800}$$

Multiply \frac{87}{25} times \frac{3}{40} by multiplying numerator times numerator and denominator times denominator.

$$n=0.8217-\frac{87\times 3}{25\times 40}-0.0056\times \frac{60^{2}}{800}$$

Do the multiplications in the fraction \frac{87\times 3}{25\times 40}.

$$n=0.8217-\frac{261}{1000}-0.0056\times \frac{60^{2}}{800}$$

Convert decimal number 0.8217 to fraction \frac{8217}{10000}.

$$n=\frac{8217}{10000}-\frac{261}{1000}-0.0056\times \frac{60^{2}}{800}$$

Least common multiple of 10000 and 1000 is 10000. Convert \frac{8217}{10000} and \frac{261}{1000} to fractions with denominator 10000.

$$n=\frac{8217}{10000}-\frac{2610}{10000}-0.0056\times \frac{60^{2}}{800}$$

Since \frac{8217}{10000} and \frac{2610}{10000} have the same denominator, subtract them by subtracting their numerators.

$$n=\frac{8217-2610}{10000}-0.0056\times \frac{60^{2}}{800}$$

Subtract 2610 from 8217 to get 5607.

$$n=\frac{5607}{10000}-0.0056\times \frac{60^{2}}{800}$$

Calculate 60 to the power of 2 and get 3600.

$$n=\frac{5607}{10000}-0.0056\times \frac{3600}{800}$$

Reduce the fraction \frac{3600}{800} to lowest terms by extracting and canceling out 400.

$$n=\frac{5607}{10000}-0.0056\times \frac{9}{2}$$

Convert decimal number 0.0056 to fraction \frac{56}{10000}. Reduce the fraction \frac{56}{10000} to lowest terms by extracting and canceling out 8.

$$n=\frac{5607}{10000}-\frac{7}{1250}\times \frac{9}{2}$$

Multiply \frac{7}{1250} times \frac{9}{2} by multiplying numerator times numerator and denominator times denominator.

$$n=\frac{5607}{10000}-\frac{7\times 9}{1250\times 2}$$

Do the multiplications in the fraction \frac{7\times 9}{1250\times 2}.

$$n=\frac{5607}{10000}-\frac{63}{2500}$$

Least common multiple of 10000 and 2500 is 10000. Convert \frac{5607}{10000} and \frac{63}{2500} to fractions with denominator 10000.

$$n=\frac{5607}{10000}-\frac{252}{10000}$$

Since \frac{5607}{10000} and \frac{252}{10000} have the same denominator, subtract them by subtracting their numerators.

$$n=\frac{5607-252}{10000}$$

Subtract 252 from 5607 to get 5355.

$$n=\frac{5355}{10000}$$

Reduce the fraction \frac{5355}{10000} to lowest terms by extracting and canceling out 5.

$$n=\frac{1071}{2000}$$

Assign n

$$n≔0.5355$$