Solve 32/7-11/4

$$3 \frac { 2 } { 7 } - 1 \frac { 1 } { 4 }$$

Evaluate

$$\frac{57}{28}\approx 2.035714286$$

Solution Steps

Multiply 3 and 7 to get 21.

$$\frac{21+2}{7}-\frac{1\times 4+1}{4}$$

Add 21 and 2 to get 23.

$$\frac{23}{7}-\frac{1\times 4+1}{4}$$

Multiply 1 and 4 to get 4.

$$\frac{23}{7}-\frac{4+1}{4}$$

Add 4 and 1 to get 5.

$$\frac{23}{7}-\frac{5}{4}$$

Least common multiple of 7 and 4 is 28. Convert \frac{23}{7} and \frac{5}{4} to fractions with denominator 28.

$$\frac{92}{28}-\frac{35}{28}$$

Since \frac{92}{28} and \frac{35}{28} have the same denominator, subtract them by subtracting their numerators.

$$\frac{92-35}{28}$$

Subtract 35 from 92 to get 57.

$$\frac{57}{28}$$

Factor

$$\frac{3 \cdot 19}{2 ^ {2} \cdot 7} = 2\frac{1}{28} = 2.0357142857142856$$