Solve 52/7-314/21

$$5 \frac { 2 } { 7 } - 3 \frac { 14 } { 21 }$$

Evaluate

$$\frac{34}{21}\approx 1.619047619$$

Solution Steps

Multiply 5 and 7 to get 35.

$$\frac{35+2}{7}-\frac{3\times 21+14}{21}$$

Add 35 and 2 to get 37.

$$\frac{37}{7}-\frac{3\times 21+14}{21}$$

Multiply 3 and 21 to get 63.

$$\frac{37}{7}-\frac{63+14}{21}$$

Add 63 and 14 to get 77.

$$\frac{37}{7}-\frac{77}{21}$$

Reduce the fraction \frac{77}{21} to lowest terms by extracting and canceling out 7.

$$\frac{37}{7}-\frac{11}{3}$$

Least common multiple of 7 and 3 is 21. Convert \frac{37}{7} and \frac{11}{3} to fractions with denominator 21.

$$\frac{111}{21}-\frac{77}{21}$$

Since \frac{111}{21} and \frac{77}{21} have the same denominator, subtract them by subtracting their numerators.

$$\frac{111-77}{21}$$

Subtract 77 from 111 to get 34.

$$\frac{34}{21}$$

Factor

$$\frac{2 \cdot 17}{3 \cdot 7} = 1\frac{13}{21} = 1.619047619047619$$