Solve ((2,7-0,8)*21/3/(5,2-1,4):frac{3{70}}+0,125):21/2+0,43

$$( \frac { ( 2,7 - 0,8 ) \cdot 2 \frac { 1 } { 3 } } { ( 5,2 - 1,4 ) : \frac { 3 } { 70 } } + 0,125 ) : 2 \frac { 1 } { 2 } + 0,43$$

Evaluate

$$0,5$$

Solution Steps

Subtract 0,8 from 2,7 to get 1,9.

$$\frac{\frac{1,9\times \frac{2\times 3+1}{3}}{\frac{5,2-1,4}{\frac{3}{70}}}+0,125}{\frac{2\times 2+1}{2}}+0,43$$

Multiply 2 and 3 to get 6.

$$\frac{\frac{1,9\times \frac{6+1}{3}}{\frac{5,2-1,4}{\frac{3}{70}}}+0,125}{\frac{2\times 2+1}{2}}+0,43$$

Add 6 and 1 to get 7.

$$\frac{\frac{1,9\times \frac{7}{3}}{\frac{5,2-1,4}{\frac{3}{70}}}+0,125}{\frac{2\times 2+1}{2}}+0,43$$

Convert decimal number 1,9 to fraction \frac{19}{10}.

$$\frac{\frac{\frac{19}{10}\times \frac{7}{3}}{\frac{5,2-1,4}{\frac{3}{70}}}+0,125}{\frac{2\times 2+1}{2}}+0,43$$

Multiply \frac{19}{10} times \frac{7}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{\frac{19\times 7}{10\times 3}}{\frac{5,2-1,4}{\frac{3}{70}}}+0,125}{\frac{2\times 2+1}{2}}+0,43$$

Do the multiplications in the fraction \frac{19\times 7}{10\times 3}.

$$\frac{\frac{\frac{133}{30}}{\frac{5,2-1,4}{\frac{3}{70}}}+0,125}{\frac{2\times 2+1}{2}}+0,43$$

Subtract 1,4 from 5,2 to get 3,8.

$$\frac{\frac{\frac{133}{30}}{\frac{3,8}{\frac{3}{70}}}+0,125}{\frac{2\times 2+1}{2}}+0,43$$

Divide 3,8 by \frac{3}{70} by multiplying 3,8 by the reciprocal of \frac{3}{70}.

$$\frac{\frac{\frac{133}{30}}{3,8\times \frac{70}{3}}+0,125}{\frac{2\times 2+1}{2}}+0,43$$

Convert decimal number 3,8 to fraction \frac{38}{10}. Reduce the fraction \frac{38}{10} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{\frac{133}{30}}{\frac{19}{5}\times \frac{70}{3}}+0,125}{\frac{2\times 2+1}{2}}+0,43$$

Multiply \frac{19}{5} times \frac{70}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{\frac{133}{30}}{\frac{19\times 70}{5\times 3}}+0,125}{\frac{2\times 2+1}{2}}+0,43$$

Do the multiplications in the fraction \frac{19\times 70}{5\times 3}.

$$\frac{\frac{\frac{133}{30}}{\frac{1330}{15}}+0,125}{\frac{2\times 2+1}{2}}+0,43$$

Reduce the fraction \frac{1330}{15} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{\frac{133}{30}}{\frac{266}{3}}+0,125}{\frac{2\times 2+1}{2}}+0,43$$

Divide \frac{133}{30} by \frac{266}{3} by multiplying \frac{133}{30} by the reciprocal of \frac{266}{3}.

$$\frac{\frac{133}{30}\times \frac{3}{266}+0,125}{\frac{2\times 2+1}{2}}+0,43$$

Multiply \frac{133}{30} times \frac{3}{266} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{133\times 3}{30\times 266}+0,125}{\frac{2\times 2+1}{2}}+0,43$$

Do the multiplications in the fraction \frac{133\times 3}{30\times 266}.

$$\frac{\frac{399}{7980}+0,125}{\frac{2\times 2+1}{2}}+0,43$$

Reduce the fraction \frac{399}{7980} to lowest terms by extracting and canceling out 399.

$$\frac{\frac{1}{20}+0,125}{\frac{2\times 2+1}{2}}+0,43$$

Convert decimal number 0,125 to fraction \frac{125}{1000}. Reduce the fraction \frac{125}{1000} to lowest terms by extracting and canceling out 125.

$$\frac{\frac{1}{20}+\frac{1}{8}}{\frac{2\times 2+1}{2}}+0,43$$

Least common multiple of 20 and 8 is 40. Convert \frac{1}{20} and \frac{1}{8} to fractions with denominator 40.

$$\frac{\frac{2}{40}+\frac{5}{40}}{\frac{2\times 2+1}{2}}+0,43$$

Since \frac{2}{40} and \frac{5}{40} have the same denominator, add them by adding their numerators.

$$\frac{\frac{2+5}{40}}{\frac{2\times 2+1}{2}}+0,43$$

Add 2 and 5 to get 7.

$$\frac{\frac{7}{40}}{\frac{2\times 2+1}{2}}+0,43$$

Multiply 2 and 2 to get 4.

$$\frac{\frac{7}{40}}{\frac{4+1}{2}}+0,43$$

Add 4 and 1 to get 5.

$$\frac{\frac{7}{40}}{\frac{5}{2}}+0,43$$

Divide \frac{7}{40} by \frac{5}{2} by multiplying \frac{7}{40} by the reciprocal of \frac{5}{2}.

$$\frac{7}{40}\times \frac{2}{5}+0,43$$

Multiply \frac{7}{40} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 2}{40\times 5}+0,43$$

Do the multiplications in the fraction \frac{7\times 2}{40\times 5}.

$$\frac{14}{200}+0,43$$

Reduce the fraction \frac{14}{200} to lowest terms by extracting and canceling out 2.

$$\frac{7}{100}+0,43$$

Convert decimal number 0,43 to fraction \frac{43}{100}.

$$\frac{7}{100}+\frac{43}{100}$$

Since \frac{7}{100} and \frac{43}{100} have the same denominator, add them by adding their numerators.

$$\frac{7+43}{100}$$

Add 7 and 43 to get 50.

$$\frac{50}{100}$$

Reduce the fraction \frac{50}{100} to lowest terms by extracting and canceling out 50.

$$\frac{1}{2}$$

Factor

$$\frac{1}{2} = 0.5$$