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

Solve the following expression:

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

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
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!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Solve the following expression:

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

2

Step-by-step solution

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

Now we'll combine only the whole numbers:

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

Next, we will calculate the remainder:

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

Finally, we are left with the following:

17x+0.7x=17.7x 17x+0.7x=17.7x

3

Final Answer

17.7x x

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