Solve 77/30-319/30

$$7 \frac{ 7 }{ 30 } -3 \frac{ 19 }{ 30 }$$

Evaluate

$$\frac{18}{5}=3.6$$

Solution Steps

Multiply 7 and 30 to get 210.

$$\frac{210+7}{30}-\frac{3\times 30+19}{30}$$

Add 210 and 7 to get 217.

$$\frac{217}{30}-\frac{3\times 30+19}{30}$$

Multiply 3 and 30 to get 90.

$$\frac{217}{30}-\frac{90+19}{30}$$

Add 90 and 19 to get 109.

$$\frac{217}{30}-\frac{109}{30}$$

Since \frac{217}{30} and \frac{109}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{217-109}{30}$$

Subtract 109 from 217 to get 108.

$$\frac{108}{30}$$

Reduce the fraction \frac{108}{30} to lowest terms by extracting and canceling out 6.

$$\frac{18}{5}$$

Factor

$$\frac{2 \cdot 3 ^ {2}}{5} = 3\frac{3}{5} = 3.6$$