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

Question

Solve the following expression:

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

00:00 Solve

00:03 Let's break down the numbers into whole numbers and remainders

00:19 Let's group the whole numbers together and the remainders together

00:58 This is the sum of the whole numbers

01:11 This is the sum of remainders, now let's combine

01:22 And this is the solution to the question

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 $x$