Solve 7-51/6+41/4

$$7 - 5 \frac { 1 } { 6 } + 4 \frac { 1 } { 4 }$$

Evaluate

$$\frac{73}{12}\approx 6.083333333$$

Solution Steps

Multiply 5 and 6 to get 30.

$$7-\frac{30+1}{6}+\frac{4\times 4+1}{4}$$

Add 30 and 1 to get 31.

$$7-\frac{31}{6}+\frac{4\times 4+1}{4}$$

Convert 7 to fraction \frac{42}{6}.

$$\frac{42}{6}-\frac{31}{6}+\frac{4\times 4+1}{4}$$

Since \frac{42}{6} and \frac{31}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{42-31}{6}+\frac{4\times 4+1}{4}$$

Subtract 31 from 42 to get 11.

$$\frac{11}{6}+\frac{4\times 4+1}{4}$$

Multiply 4 and 4 to get 16.

$$\frac{11}{6}+\frac{16+1}{4}$$

Add 16 and 1 to get 17.

$$\frac{11}{6}+\frac{17}{4}$$

Least common multiple of 6 and 4 is 12. Convert \frac{11}{6} and \frac{17}{4} to fractions with denominator 12.

$$\frac{22}{12}+\frac{51}{12}$$

Since \frac{22}{12} and \frac{51}{12} have the same denominator, add them by adding their numerators.

$$\frac{22+51}{12}$$

Add 22 and 51 to get 73.

$$\frac{73}{12}$$

Factor

$$\frac{73}{2 ^ {2} \cdot 3} = 6\frac{1}{12} = 6.083333333333333$$