Question

2 2\3 +3 1\2
solve the problem​

Answer 1

Answer :

The required number is $\sf{6 \dfrac{1}{6}}$

Step-by-step explanation :

To Find :-

$\sf{ \underline{Add:} \: \: \: 2 \dfrac{2}{3} + 3 \dfrac{1}{2}}$

Solution :

$\sf{ \purple{ \longrightarrow} \: \: \: 2 \dfrac{2}{3} + 3 \dfrac{1}{2}}$

Converting mixed fraction to improper fraction

$\sf{ \purple{ \longrightarrow} \: \: \: \dfrac{8}{3} + \dfrac{7}{2}}$

Now, let's find the L.C.M of 3 and 2

$\begin{gathered}\begin{gathered}\begin{array}{r|l}\sf3&\sf3,2\\\cline{2-2}\sf2&\sf1,2\\\cline{2-2}&\sf1,1\end{array}\end{gathered}\end{gathered}$

» 3 × 2

» 6

L.C.M of 3 and 2 is 6

$\sf{ \purple{ \longrightarrow} \: \: \: \dfrac{(2 \times 8) + (3 \times 7)}{6}}$

$\sf{ \purple{ \longrightarrow} \: \: \: \dfrac{16 + 21}{6}}$

$\sf{ \purple{ \longrightarrow} \: \: \: \dfrac{37}{6}}$

$\sf{ \purple{ \longrightarrow} \: \: \: 6\dfrac{1}{6}} \: \: \: \orange{\star}$

Therefore, the required number is 6⅙

« More Info »

There are 6 types of fractions :

• Proper fraction
• Improper fraction
• Mixed fraction
• Like fraction
• Unlike fraction
• Equivalent fraction