Solve 26.79-65/40

$$26.79 - \frac { 65 } { 40 }$$

Evaluate

$$25.165$$

Solution Steps

Reduce the fraction \frac{65}{40} to lowest terms by extracting and canceling out 5.

$$26.79-\frac{13}{8}$$

Convert decimal number 26.79 to fraction \frac{2679}{100}.

$$\frac{2679}{100}-\frac{13}{8}$$

Least common multiple of 100 and 8 is 200. Convert \frac{2679}{100} and \frac{13}{8} to fractions with denominator 200.

$$\frac{5358}{200}-\frac{325}{200}$$

Since \frac{5358}{200} and \frac{325}{200} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5358-325}{200}$$

Subtract 325 from 5358 to get 5033.

$$\frac{5033}{200}$$

Factor

$$\frac{7 \cdot 719}{2 ^ {3} \cdot 5 ^ {2}} = 25\frac{33}{200} = 25.165$$