An empty fruit basket weights $\frac{3}{4}$ kg. Monika puts $\frac{1}{2}$kg of mangoes and $1\frac{1}{2}$kg of apples in the basket. What is the total weight of the basket and fruits?

Step 1. Finding total weight of fruits:

Given, Weight of mangoes that Monika puts in the basket $=\frac{1}{2}$kg.

Weight of apples that Monika puts in the basket $=1\frac{1}{2}$kg

$1\frac{1}{2}=\frac{\left(1\times 2\right)+1}{2}=\frac{3}{2}(Convertingmixedfractionintoimproperfraction)$

So, now the total weight fruits that is of mangoes and apples in the basket $=\frac{1}{2}+1\frac{1}{2}=\frac{1}{2}+\frac{3}{2}$

$=\frac{1+3}{2}=\frac{4}{2}=2$kg

So, the total weight of fruits in the basket is found to be $2$ kg.

Step 2. Finding the total weight of the basket and fruits:

Given, the weight of the basket $=\frac{3}{4}$kg

The weight of fruits in the basket $=2$ kg

So, the total weight of the basket and fruits $=2+\frac{3}{4}=2\frac{3}{4}$ kg

Hence, the total weight of the basket and fruits is $2\frac{3}{4}$kg.