Solve (25+25)÷10: Basic Arithmetic Expression

Basic Division with Order of Operations

25+2510= \frac{25+25}{10}=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:06 Let's solve this problem together.
00:09 First, we'll work on the top number, called the numerator.
00:19 To start, we break down 50 into 5 times 10.
00:24 Now, let's see what we can simplify.
00:31 And that's how we find the solution to our question!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

25+2510= \frac{25+25}{10}=

2

Step-by-step solution

Let's begin by multiplying the numerator:

25+25=50 25+25=50

We obtain the following fraction:

5010 \frac{50}{10}

Finally let's reduce the numerator and denominator by 10 and we are left with the following result:

51=5 \frac{5}{1}=5

3

Final Answer

5 5

Key Points to Remember

Essential concepts to master this topic
  • Order: Always solve operations inside parentheses or numerators first
  • Technique: Calculate 25 + 25 = 50, then divide by 10
  • Check: Verify that 5010=5 \frac{50}{10} = 5 using division ✓

Common Mistakes

Avoid these frequent errors
  • Dividing before adding the numerator
    Don't divide 25 ÷ 10 + 25 ÷ 10 = 2.5 + 2.5 = 5! This accidentally gives the right answer but uses wrong order of operations. Always calculate the numerator completely first: 25 + 25 = 50, then divide 50 ÷ 10 = 5.

Practice Quiz

Test your knowledge with interactive questions

\( 100+5-100+5 \)

FAQ

Everything you need to know about this question

Why do I need to add 25 + 25 first?

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The fraction bar acts like parentheses, grouping everything in the numerator together. You must complete all operations in the numerator before dividing.

Can I simplify this problem differently?

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Yes! You could recognize that 25+2510=2510+2510=2.5+2.5=5 \frac{25+25}{10} = \frac{25}{10} + \frac{25}{10} = 2.5 + 2.5 = 5 , but the standard method is usually clearer.

What if the numbers in the numerator were different?

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Always add (or subtract) the numerator first, regardless of the numbers. The fraction bar groups everything above it together.

How do I check if 5 is the right answer?

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Substitute back: Does 25+2510=5 \frac{25+25}{10} = 5 ? Check: 5010=5 \frac{50}{10} = 5 ✓ Yes!

Is there a shortcut for this type of problem?

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Once you're comfortable, you can think: 25 + 25 = 50, and 50 ÷ 10 = 5. But always write out your steps to avoid errors!

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