Solve 71/4-35/6=

$$7 \frac { 1 } { 4 } - 3 \frac { 5 } { 6 } =$$

Evaluate

$$\frac{41}{12}\approx 3.416666667$$

Solution Steps

Multiply 7 and 4 to get 28.

$$\frac{28+1}{4}-\frac{3\times 6+5}{6}$$

Add 28 and 1 to get 29.

$$\frac{29}{4}-\frac{3\times 6+5}{6}$$

Multiply 3 and 6 to get 18.

$$\frac{29}{4}-\frac{18+5}{6}$$

Add 18 and 5 to get 23.

$$\frac{29}{4}-\frac{23}{6}$$

Least common multiple of 4 and 6 is 12. Convert \frac{29}{4} and \frac{23}{6} to fractions with denominator 12.

$$\frac{87}{12}-\frac{46}{12}$$

Since \frac{87}{12} and \frac{46}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{87-46}{12}$$

Subtract 46 from 87 to get 41.

$$\frac{41}{12}$$

Factor

$$\frac{41}{2 ^ {2} \cdot 3} = 3\frac{5}{12} = 3.4166666666666665$$