Solve 16/7+13/4

$$1 \frac{ 6 }{ 7 } +1 \frac{ 3 }{ 4 }$$

Evaluate

$$\frac{101}{28}\approx 3.607142857$$

Solution Steps

Multiply 1 and 7 to get 7.

$$\frac{7+6}{7}+\frac{1\times 4+3}{4}$$

Add 7 and 6 to get 13.

$$\frac{13}{7}+\frac{1\times 4+3}{4}$$

Multiply 1 and 4 to get 4.

$$\frac{13}{7}+\frac{4+3}{4}$$

Add 4 and 3 to get 7.

$$\frac{13}{7}+\frac{7}{4}$$

Least common multiple of 7 and 4 is 28. Convert \frac{13}{7} and \frac{7}{4} to fractions with denominator 28.

$$\frac{52}{28}+\frac{49}{28}$$

Since \frac{52}{28} and \frac{49}{28} have the same denominator, add them by adding their numerators.

$$\frac{52+49}{28}$$

Add 52 and 49 to get 101.

$$\frac{101}{28}$$

Factor

$$\frac{101}{2 ^ {2} \cdot 7} = 3\frac{17}{28} = 3.607142857142857$$