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

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

Evaluate

$$\frac{130}{53}\approx 2.452830189$$

Solution Steps

Multiply 5 and 90 to get 450.

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

Add 450 and 37 to get 487.

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

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

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

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

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

Subtract 10 from 487 to get 477.

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

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

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

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

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

Express 13\times \frac{10}{53} as a single fraction.

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

Multiply 13 and 10 to get 130.

$$\frac{130}{53}$$

Factor

$$\frac{2 \cdot 5 \cdot 13}{53} = 2\frac{24}{53} = 2.452830188679245$$