Question

Add

$\frac{7}{12}$$+$$\frac{4}{9}$

Answer 1

The given fractions $\frac{7}{12}$ and $\frac{4}{9}$ are unlike fractions as the denominators of the two fractions are different. To add two or more unlike fractions we convert them into like fractions and then add these corresponding like fractions.

To covert $\frac{7}{12}$ and $\frac{4}{9}$into like fractions, we convert them into their equivalent forms with the denominator as the LCM of denominators of the given fractions.

The LCM of the given denominators $12$ and $9$ is $36$. Therefore, to convert $\frac{7}{12}$ and $\frac{4}{9}$ into their equivalent fractions with denominator $36$, we have

$\frac{7}{12}$$=\frac{7\times 3}{12\times 3}$ [ Multiplying numerator and denominator by $3$ ]

$=$$\frac{21}{36}$

and

$\frac{4}{9}$$=\frac{4\times 4}{9\times 4}$ [ Multiplying numerator and denominator by $4$ ]

$=$$\frac{16}{36}$

Now, $\frac{7}{12}$$+$$\frac{4}{9}$$=$$\frac{21}{36}+\frac{16}{36}=\frac{37}{36}$

Therefore, $\frac{7}{12}$$+$$\frac{4}{9}$$=$$\frac{37}{36}$