Solve (0.25*79-3.21*21/11)

$$( 0.25 \cdot 79 - 3.21 \cdot 2 \frac { 1 } { 11 } )$$

Evaluate

$$\frac{7171}{550}\approx 13.038181818$$

Solution Steps

Multiply 0.25 and 79 to get 19.75.

$$19.75-3.21\times \frac{2\times 11+1}{11}$$

Multiply 2 and 11 to get 22.

$$19.75-3.21\times \frac{22+1}{11}$$

Add 22 and 1 to get 23.

$$19.75-3.21\times \frac{23}{11}$$

Convert decimal number 3.21 to fraction \frac{321}{100}.

$$19.75-\frac{321}{100}\times \frac{23}{11}$$

Multiply \frac{321}{100} times \frac{23}{11} by multiplying numerator times numerator and denominator times denominator.

$$19.75-\frac{321\times 23}{100\times 11}$$

Do the multiplications in the fraction \frac{321\times 23}{100\times 11}.

$$19.75-\frac{7383}{1100}$$

Convert decimal number 19.75 to fraction \frac{1975}{100}. Reduce the fraction \frac{1975}{100} to lowest terms by extracting and canceling out 25.

$$\frac{79}{4}-\frac{7383}{1100}$$

Least common multiple of 4 and 1100 is 1100. Convert \frac{79}{4} and \frac{7383}{1100} to fractions with denominator 1100.

$$\frac{21725}{1100}-\frac{7383}{1100}$$

Since \frac{21725}{1100} and \frac{7383}{1100} have the same denominator, subtract them by subtracting their numerators.

$$\frac{21725-7383}{1100}$$

Subtract 7383 from 21725 to get 14342.

$$\frac{14342}{1100}$$

Reduce the fraction \frac{14342}{1100} to lowest terms by extracting and canceling out 2.

$$\frac{7171}{550}$$

Factor

$$\frac{71 \cdot 101}{2 \cdot 11 \cdot 5 ^ {2}} = 13\frac{21}{550} = 13.038181818181819$$