Solve 11.58-(75/11+1.58)

$$11.58 - ( 7 \frac { 5 } { 11 } + 1.58 )$$

Evaluate

$$\frac{28}{11}\approx 2.545454545$$

Solution Steps

Multiply 7 and 11 to get 77.

$$11.58-\left(\frac{77+5}{11}+1.58\right)$$

Add 77 and 5 to get 82.

$$11.58-\left(\frac{82}{11}+1.58\right)$$

Convert decimal number 1.58 to fraction \frac{158}{100}. Reduce the fraction \frac{158}{100} to lowest terms by extracting and canceling out 2.

$$11.58-\left(\frac{82}{11}+\frac{79}{50}\right)$$

Least common multiple of 11 and 50 is 550. Convert \frac{82}{11} and \frac{79}{50} to fractions with denominator 550.

$$11.58-\left(\frac{4100}{550}+\frac{869}{550}\right)$$

Since \frac{4100}{550} and \frac{869}{550} have the same denominator, add them by adding their numerators.

$$11.58-\frac{4100+869}{550}$$

Add 4100 and 869 to get 4969.

$$11.58-\frac{4969}{550}$$

Convert decimal number 11.58 to fraction \frac{1158}{100}. Reduce the fraction \frac{1158}{100} to lowest terms by extracting and canceling out 2.

$$\frac{579}{50}-\frac{4969}{550}$$

Least common multiple of 50 and 550 is 550. Convert \frac{579}{50} and \frac{4969}{550} to fractions with denominator 550.

$$\frac{6369}{550}-\frac{4969}{550}$$

Since \frac{6369}{550} and \frac{4969}{550} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6369-4969}{550}$$

Subtract 4969 from 6369 to get 1400.

$$\frac{1400}{550}$$

Reduce the fraction \frac{1400}{550} to lowest terms by extracting and canceling out 50.

$$\frac{28}{11}$$

Factor

$$\frac{7 \cdot 2 ^ {2}}{11} = 2\frac{6}{11} = 2.5454545454545454$$