Simplify the Expression: 10.1x + 5.2x + 2.4x Step by Step

Question

Solve the following expression:

$10.1x+5.2x+2.4x=\text{ ?}$

00:08 Let's solve this problem together.

00:11 First, we will break the numbers into whole parts and remainders.

00:27 Next, group all the whole parts together, and then group the remainders.

01:06 Here, we add all the whole numbers.

01:19 Now, let's add the remainders to the whole numbers.

01:30 And that's how we find the solution to the question. Great job!

The first step is factorising each of the terms in the exercise into a whole number and its remainder:

$10x+0.1x+5x+0.2x+2x+0.4x=$

Now we'll combine only the whole numbers:

$10x+5x+2x=15x+2x=17x$

Next, we will calculate the remainder:

$0.1x+0.2x+0.4x=0.3x+0.4x=0.7x$

Finally, we are left with the following:

$17x+0.7x=17.7x$

17.7 $x$