Solve 74*3/7+7/4

$$74 \times 3 / 7 + \frac { 7 } { 4 }$$

Evaluate

$$\frac{937}{28}\approx 33.464285714$$

Solution Steps

Express 74\times \frac{3}{7} as a single fraction.

$$\frac{74\times 3}{7}+\frac{7}{4}$$

Multiply 74 and 3 to get 222.

$$\frac{222}{7}+\frac{7}{4}$$

Least common multiple of 7 and 4 is 28. Convert \frac{222}{7} and \frac{7}{4} to fractions with denominator 28.

$$\frac{888}{28}+\frac{49}{28}$$

Since \frac{888}{28} and \frac{49}{28} have the same denominator, add them by adding their numerators.

$$\frac{888+49}{28}$$

Add 888 and 49 to get 937.

$$\frac{937}{28}$$

Factor

$$\frac{937}{2 ^ {2} \cdot 7} = 33\frac{13}{28} = 33.464285714285715$$