Question

$2\frac{1}{3}+3\frac{1}{3}$ is same as

• A. $2\frac{13}{3}+2$
• B. $2\frac{13}{3}+1$
• C. $\frac{13}{3}+1$
• D. $\frac{13}{3}$

Answer 1

The correct option is C

$\frac{13}{3}+1$

$2\frac{1}{3}+3\frac{1}{3}$

= $\frac{7}{3}+\frac{10}{3}$

= $\frac{7}{3}+(\frac{7}{3}+1)$

We know that if we take any positive number and add the next number, or if we double the first number and add 1, we get the same number as the result.

So,

$\frac{7}{3}+(\frac{7}{3}+1)=2\frac{7}{3}+1$

So, $2\frac{1}{3}+3\frac{1}{3}$

= $\frac{7}{3}+(\frac{7}{3}+1)$

= $2\frac{7}{3}+1$

= $\frac{13}{3}+1$