Solve 45/4-21/3=

$$4 \frac { 5 } { 4 } - 2 \frac { 1 } { 3 } =$$

Evaluate

$$\frac{35}{12}\approx 2.916666667$$

Solution Steps

Multiply 4 and 4 to get 16.

$$\frac{16+5}{4}-\frac{2\times 3+1}{3}$$

Add 16 and 5 to get 21.

$$\frac{21}{4}-\frac{2\times 3+1}{3}$$

Multiply 2 and 3 to get 6.

$$\frac{21}{4}-\frac{6+1}{3}$$

Add 6 and 1 to get 7.

$$\frac{21}{4}-\frac{7}{3}$$

Least common multiple of 4 and 3 is 12. Convert \frac{21}{4} and \frac{7}{3} to fractions with denominator 12.

$$\frac{63}{12}-\frac{28}{12}$$

Since \frac{63}{12} and \frac{28}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{63-28}{12}$$

Subtract 28 from 63 to get 35.

$$\frac{35}{12}$$

Factor

$$\frac{5 \cdot 7}{2 ^ {2} \cdot 3} = 2\frac{11}{12} = 2.9166666666666665$$