Solve Division Expression: 106÷(6+1-5) Step by Step

Solve the following expression:

106:(6+15)= 106:(6+1-5)=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve the following expression
00:03 Always solve the parentheses first
00:08 Use the distribution law and split 106 into 100 plus 6
00:13 Make sure to divide each factor within the parentheses by the external factor
00:20 Solve each division and then sum up
00:25 This is the solution

Step-by-step written solution

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1

Understand the problem

Solve the following expression:

106:(6+15)= 106:(6+1-5)=

2

Step-by-step solution

Let's simplify this expression while maintaining the order of operations.

Let's start by solving the expression in parentheses from left to right:

6+15=75=2 6+1-5=7-5=2

Now we get the expression:

106:2= 106:2=

In the next step, to make the division easier for ourselves, we'll break down 106 into two smaller factors that are divisible by 2:

(100+6):2= (100+6):2=

Let's divide each factor in parentheses by 5:

(100:2)+(6:2)= (100:2)+(6:2)=

We'll solve each expression in parentheses and obtain:

50+3=53 50+3=53

3

Final Answer

53 53

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\( 140-70= \)

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