Solve 51/3quad73/7+14/28

$$5 \frac { 1 } { 3 } \quad 7 \frac { 3 } { 7 } + \frac { 14 } { 28 }$$

Evaluate

$$\frac{1685}{42}\approx 40.119047619$$

Solution Steps

Multiply 5 and 3 to get 15.

$$\frac{15+1}{3}\times \frac{7\times 7+3}{7}+\frac{14}{28}$$

Add 15 and 1 to get 16.

$$\frac{16}{3}\times \frac{7\times 7+3}{7}+\frac{14}{28}$$

Multiply 7 and 7 to get 49.

$$\frac{16}{3}\times \frac{49+3}{7}+\frac{14}{28}$$

Add 49 and 3 to get 52.

$$\frac{16}{3}\times \frac{52}{7}+\frac{14}{28}$$

Multiply \frac{16}{3} times \frac{52}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{16\times 52}{3\times 7}+\frac{14}{28}$$

Do the multiplications in the fraction \frac{16\times 52}{3\times 7}.

$$\frac{832}{21}+\frac{14}{28}$$

Reduce the fraction \frac{14}{28} to lowest terms by extracting and canceling out 14.

$$\frac{832}{21}+\frac{1}{2}$$

Least common multiple of 21 and 2 is 42. Convert \frac{832}{21} and \frac{1}{2} to fractions with denominator 42.

$$\frac{1664}{42}+\frac{21}{42}$$

Since \frac{1664}{42} and \frac{21}{42} have the same denominator, add them by adding their numerators.

$$\frac{1664+21}{42}$$

Add 1664 and 21 to get 1685.

$$\frac{1685}{42}$$

Factor

$$\frac{5 \cdot 337}{2 \cdot 3 \cdot 7} = 40\frac{5}{42} = 40.11904761904762$$