Solve (9^2/5-7,75+81/2)*(8,4:0,4*1/7)=

$$( \frac { 9 ^ { 2 } } { 5 } - 7,75 + 8 \frac { 1 } { 2 } ) \cdot ( 8,4 : 0,4 \cdot \frac { 1 } { 7 } ) =$$

Evaluate

$$50,85$$

Solution Steps

Calculate 9 to the power of 2 and get 81.

$$\left(\frac{81}{5}-7,75+\frac{8\times 2+1}{2}\right)\times \frac{8,4}{0,4}\times \frac{1}{7}$$

Convert decimal number 7,75 to fraction \frac{775}{100}. Reduce the fraction \frac{775}{100} to lowest terms by extracting and canceling out 25.

$$\left(\frac{81}{5}-\frac{31}{4}+\frac{8\times 2+1}{2}\right)\times \frac{8,4}{0,4}\times \frac{1}{7}$$

Least common multiple of 5 and 4 is 20. Convert \frac{81}{5} and \frac{31}{4} to fractions with denominator 20.

$$\left(\frac{324}{20}-\frac{155}{20}+\frac{8\times 2+1}{2}\right)\times \frac{8,4}{0,4}\times \frac{1}{7}$$

Since \frac{324}{20} and \frac{155}{20} have the same denominator, subtract them by subtracting their numerators.

$$\left(\frac{324-155}{20}+\frac{8\times 2+1}{2}\right)\times \frac{8,4}{0,4}\times \frac{1}{7}$$

Subtract 155 from 324 to get 169.

$$\left(\frac{169}{20}+\frac{8\times 2+1}{2}\right)\times \frac{8,4}{0,4}\times \frac{1}{7}$$

Multiply 8 and 2 to get 16.

$$\left(\frac{169}{20}+\frac{16+1}{2}\right)\times \frac{8,4}{0,4}\times \frac{1}{7}$$

Add 16 and 1 to get 17.

$$\left(\frac{169}{20}+\frac{17}{2}\right)\times \frac{8,4}{0,4}\times \frac{1}{7}$$

Least common multiple of 20 and 2 is 20. Convert \frac{169}{20} and \frac{17}{2} to fractions with denominator 20.

$$\left(\frac{169}{20}+\frac{170}{20}\right)\times \frac{8,4}{0,4}\times \frac{1}{7}$$

Since \frac{169}{20} and \frac{170}{20} have the same denominator, add them by adding their numerators.

$$\frac{169+170}{20}\times \frac{8,4}{0,4}\times \frac{1}{7}$$

Add 169 and 170 to get 339.

$$\frac{339}{20}\times \frac{8,4}{0,4}\times \frac{1}{7}$$

Expand \frac{8,4}{0,4} by multiplying both numerator and the denominator by 10.

$$\frac{339}{20}\times \frac{84}{4}\times \frac{1}{7}$$

Divide 84 by 4 to get 21.

$$\frac{339}{20}\times 21\times \frac{1}{7}$$

Express \frac{339}{20}\times 21 as a single fraction.

$$\frac{339\times 21}{20}\times \frac{1}{7}$$

Multiply 339 and 21 to get 7119.

$$\frac{7119}{20}\times \frac{1}{7}$$

Multiply \frac{7119}{20} times \frac{1}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7119\times 1}{20\times 7}$$

Do the multiplications in the fraction \frac{7119\times 1}{20\times 7}.

$$\frac{7119}{140}$$

Reduce the fraction \frac{7119}{140} to lowest terms by extracting and canceling out 7.

$$\frac{1017}{20}$$

Factor

$$\frac{113 \cdot 3 ^ {2}}{5 \cdot 2 ^ {2}} = 50\frac{17}{20} = 50.85$$