Solve 7.64-27/13

$$7.64 - 2 \frac { 7 } { 13 }$$

Evaluate

$$\frac{1658}{325}\approx 5.101538462$$

Solution Steps

Multiply 2 and 13 to get 26.

$$7.64-\frac{26+7}{13}$$

Add 26 and 7 to get 33.

$$7.64-\frac{33}{13}$$

Convert decimal number 7.64 to fraction \frac{764}{100}. Reduce the fraction \frac{764}{100} to lowest terms by extracting and canceling out 4.

$$\frac{191}{25}-\frac{33}{13}$$

Least common multiple of 25 and 13 is 325. Convert \frac{191}{25} and \frac{33}{13} to fractions with denominator 325.

$$\frac{2483}{325}-\frac{825}{325}$$

Since \frac{2483}{325} and \frac{825}{325} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2483-825}{325}$$

Subtract 825 from 2483 to get 1658.

$$\frac{1658}{325}$$

Factor

$$\frac{2 \cdot 829}{13 \cdot 5 ^ {2}} = 5\frac{33}{325} = 5.101538461538461$$