Solve 51/4-42/3=

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

Evaluate

$$\frac{7}{12}\approx 0.583333333$$

Solution Steps

Multiply 5 and 4 to get 20.

$$\frac{20+1}{4}-\frac{4\times 3+2}{3}$$

Add 20 and 1 to get 21.

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

Multiply 4 and 3 to get 12.

$$\frac{21}{4}-\frac{12+2}{3}$$

Add 12 and 2 to get 14.

$$\frac{21}{4}-\frac{14}{3}$$

Least common multiple of 4 and 3 is 12. Convert \frac{21}{4} and \frac{14}{3} to fractions with denominator 12.

$$\frac{63}{12}-\frac{56}{12}$$

Since \frac{63}{12} and \frac{56}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{63-56}{12}$$

Subtract 56 from 63 to get 7.

$$\frac{7}{12}$$

Factor

$$\frac{7}{2 ^ {2} \cdot 3} = 0.5833333333333334$$