Question

The sum of two fractions is $6\frac{1}{6}$. If one of the fractions is $2\frac{1}{3}$. Find the other fraction.

• A. $2\frac{1}{6}$
• B. $3\frac{5}{6}$
• C. $3\frac{1}{6}$
• D. $2\frac{5}{6}$

Answer 1

The correct option is B

$3\frac{5}{6}$

Explanation of correct answer.

Option : B

Sum of two fractions$=6\frac{1}{6}$

One of the fractions$=2\frac{1}{3}$

Other fraction

$$\begin{gathered} =6\frac{1}{6}-2\frac{1}{3} \\ =\frac{\left(6\times 6\right)+1}{6}-\frac{\left(2\times 3\right)+1}{3} \\ =\frac{37}{6}-\frac{7}{3} \\ =\frac{37}{6}-\frac{7\times 2}{3\times 2} \\ =\frac{37}{6}-\frac{14}{6} \\ =\frac{23}{6} \\ =3\frac{5}{6} \end{gathered}$$

Hence, the Correct option is B.