Question

Each of 40 identical boxes weighs $4\frac{4}{5}$kg. Find the total weight of all the boxes

Answer 1

Step 1: Convert the given statement into mathematical expression.
The weight of 1 box $=4\frac{4}{5}$
So,
the weight of 40 such boxes will be,
Total weight $=40\times 4\frac{4}{5}$𝑘𝑔

Step 2: Convert the mixed fractions into improper fractions and find the total weight of the boxes
𝑀𝑖𝑥𝑒𝑑 𝐹𝑟𝑎𝑐𝑡𝑖𝑜n
$=\frac{Integralpart\times Denominator+Numerator}{Denominator}$

We will use the above formula to convert the mixed fraction into improper fraction
Total weight $=40\times \frac{4\times 5+4}{5}$
$=40\times \frac{20+4}{5}=40\times \frac{24}{5}$
=192𝑘𝑔

Hence, the total weight of 40 boxes is 192kg.