Solve 21/3-3/10*(2,2-0,3)*0,12

$$\frac { 21 } { 3 } - \frac { 3 } { 10 } \cdot ( 2,2 - 0,3 ) \cdot 0,12$$

Evaluate

$$6,9316$$

Solution Steps

Divide 21 by 3 to get 7.

$$7-\frac{3}{10}\left(2,2-0,3\right)\times 0,12$$

Subtract 0,3 from 2,2 to get 1,9.

$$7-\frac{3}{10}\times 1,9\times 0,12$$

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

$$7-\frac{3}{10}\times \frac{19}{10}\times 0,12$$

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

$$7-\frac{3\times 19}{10\times 10}\times 0,12$$

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

$$7-\frac{57}{100}\times 0,12$$

Convert decimal number 0,12 to fraction \frac{12}{100}. Reduce the fraction \frac{12}{100} to lowest terms by extracting and canceling out 4.

$$7-\frac{57}{100}\times \frac{3}{25}$$

Multiply \frac{57}{100} times \frac{3}{25} by multiplying numerator times numerator and denominator times denominator.

$$7-\frac{57\times 3}{100\times 25}$$

Do the multiplications in the fraction \frac{57\times 3}{100\times 25}.

$$7-\frac{171}{2500}$$

Convert 7 to fraction \frac{17500}{2500}.

$$\frac{17500}{2500}-\frac{171}{2500}$$

Since \frac{17500}{2500} and \frac{171}{2500} have the same denominator, subtract them by subtracting their numerators.

$$\frac{17500-171}{2500}$$

Subtract 171 from 17500 to get 17329.

$$\frac{17329}{2500}$$

Factor

$$\frac{13 \cdot 31 \cdot 43}{2 ^ {2} \cdot 5 ^ {4}} = 6\frac{2329}{2500} = 6.9316$$