Sum of three fractions

image

image

\(\frac{1}{3}+\frac{1}{5}+\frac{1}{7}=?\)
\(\frac{71}{105}\)
\(\frac{61}{105}\)
\(\frac{51}{105}\)
\(\frac{41}{105}\)
\(\frac{31}{105}\)

Calculator
Hint \(\frac{1}{3}+\frac{1}{5}+\frac{1}{7}\)
\(=\frac{1\times{35}}{3\times{35}}+\frac{1\times{21}}{5\times{21}}+\frac{1\times{15}}{7\times{15}}\)
\(=\frac{35}{105}+\frac{21}{105}+\frac{15}{105}\)
\(=\frac{35+21+15}{105}\)
\(=\frac{71}{105}\)
arrowf1