Solve 11,13:(537/90-1/9)

$$11,13 : ( 5 \frac { 37 } { 90 } - \frac { 1 } { 9 } )$$

Evaluate

$$2,1$$

Solution Steps

Multiply 5 and 90 to get 450.

$$\frac{11,13}{\frac{450+37}{90}-\frac{1}{9}}$$

Add 450 and 37 to get 487.

$$\frac{11,13}{\frac{487}{90}-\frac{1}{9}}$$

Least common multiple of 90 and 9 is 90. Convert \frac{487}{90} and \frac{1}{9} to fractions with denominator 90.

$$\frac{11,13}{\frac{487}{90}-\frac{10}{90}}$$

Since \frac{487}{90} and \frac{10}{90} have the same denominator, subtract them by subtracting their numerators.

$$\frac{11,13}{\frac{487-10}{90}}$$

Subtract 10 from 487 to get 477.

$$\frac{11,13}{\frac{477}{90}}$$

Reduce the fraction \frac{477}{90} to lowest terms by extracting and canceling out 9.

$$\frac{11,13}{\frac{53}{10}}$$

Divide 11,13 by \frac{53}{10} by multiplying 11,13 by the reciprocal of \frac{53}{10}.

$$11,13\times \frac{10}{53}$$

Convert decimal number 11,13 to fraction \frac{1113}{100}.

$$\frac{1113}{100}\times \frac{10}{53}$$

Multiply \frac{1113}{100} times \frac{10}{53} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1113\times 10}{100\times 53}$$

Do the multiplications in the fraction \frac{1113\times 10}{100\times 53}.

$$\frac{11130}{5300}$$

Reduce the fraction \frac{11130}{5300} to lowest terms by extracting and canceling out 530.

$$\frac{21}{10}$$

Factor

$$\frac{3 \cdot 7}{2 \cdot 5} = 2\frac{1}{10} = 2.1$$