Solve 53/7-7/11

$$5 \frac { 3 } { 7 } - \frac { 7 } { 11 }$$

Evaluate

$$\frac{369}{77}\approx 4.792207792$$

Solution Steps

Multiply 5 and 7 to get 35.

$$\frac{35+3}{7}-\frac{7}{11}$$

Add 35 and 3 to get 38.

$$\frac{38}{7}-\frac{7}{11}$$

Least common multiple of 7 and 11 is 77. Convert \frac{38}{7} and \frac{7}{11} to fractions with denominator 77.

$$\frac{418}{77}-\frac{49}{77}$$

Since \frac{418}{77} and \frac{49}{77} have the same denominator, subtract them by subtracting their numerators.

$$\frac{418-49}{77}$$

Subtract 49 from 418 to get 369.

$$\frac{369}{77}$$

Factor

$$\frac{3 ^ {2} \cdot 41}{7 \cdot 11} = 4\frac{61}{77} = 4.792207792207792$$