Aneeta bought $$3\dfrac{3}{4}$$ kg apples and $$4\dfrac{1}{2}$$ kg guava. What is the total weight of fruits purchased by her?
The total weight of fruits bought by Aneeta =$$\left( 3\dfrac{3}{4}+4\dfrac{1}{2}\right)$$
First convert each mixed fraction into improper fraction
$$\therefore3\dfrac{3}{4}=\dfrac{(3\times4)+3}{4}=\dfrac{15}{4}$$
and $$4\dfrac{1}{2}=\dfrac{(4\times2)+1}{2}=\dfrac{9}{2}$$
$$\therefore\text{Total weight of fruits}=\dfrac{15}{4}+\dfrac{9}{2}$$
Now, LCM of 4 & 2 =4
$$\therefore$$We change each of the given fraction into an equivalent fraction having 4 as the denominator
$$\dfrac{15}{4}\times\dfrac{1}{1}=\dfrac{15}{4}$$
and $$\dfrac{9}{2}\times\dfrac{2}{2}=\dfrac{18}{4}$$
$$\therefore\text{Total weight of fruits}=\dfrac{15}{4}+\dfrac{9}{2}$$
$$=\dfrac{15}{4}+\dfrac{18}{4}$$
$$=\dfrac{15+18}{4}$$
$$=\dfrac{33}{4}$$
$$=8\dfrac{1}{4}$$
$$\therefore\text{The total weight of fruits purchased by Aneeta}= 8\dfrac{1}{4}\text{ kg}$$