Solve Mixed Fraction Operations: 40/2 + 10/5 - 2

Q: Should I find a common denominator before simplifying?

No need! Since these fractions can be simplified to whole numbers first, just divide each fraction separately: $ \frac{40}{2} = 20 $ and $ \frac{10}{5} = 2 $. This makes the problem much easier.

Q: What order should I follow for the operations?

Follow order of operations (PEMDAS): First simplify the fractions (division), then work left to right for addition and subtraction. So: 20 + 2 - 2 = 22 - 2 = 20.

Q: Why don't I get 40 as the answer?

That's the numerator of the first fraction! Remember to divide: $ \frac{40}{2} = 20 $, not just use 40. Always perform the division operation in fractions.

Q: Can I work with mixed numbers instead?

These aren't mixed numbers - they're improper fractions that simplify to whole numbers. Mixed numbers would look like $ 2\frac{1}{3} $ with a whole part and fraction part.

Q: What if the fractions don't simplify to whole numbers?

Then you'd need to find a common denominator for addition/subtraction. But always try to simplify first - it often makes the problem much easier!

Fraction Operations with Order of Operations

$\frac{40}{2}+\frac{10}{5}-2=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:07 Let's solve this problem together.

00:11 First, let's convert these fractions into whole numbers.

00:16 Now, keep going and solve the rest of the problem.

00:22 And there you have it! That's the solution to our question.

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$\frac{40}{2}+\frac{10}{5}-2=$

Step-by-step solution

First we solve the fractions:

$\frac{40}{2}=20$

$\frac{10}{5}=2$

Now we get the exercise:

$20+2-2=$

Keep in mind that the following exercise gives us the result zero:

$2-2=0$

Therefore:

$20+0=20$

Final Answer

$20$

Key Points to Remember

Essential concepts to master this topic

Division First: Simplify each fraction before adding or subtracting
Technique: Calculate $\frac{40}{2} = 20$ and $\frac{10}{5} = 2$ separately
Check: Verify 20 + 2 - 2 = 20 by following left to right ✓

Common Mistakes

Avoid these frequent errors

Adding numerators and denominators separately
Don't try to add 40/2 + 10/5 by computing (40+10)/(2+5) = 50/7! This violates fraction rules and gives wrong results. Always simplify each fraction completely first, then perform addition and subtraction.

Practice Quiz

Test your knowledge with interactive questions

Solve the following problem:

$15\times2\times8=$

FAQ

Everything you need to know about this question

Should I find a common denominator before simplifying?

No need! Since these fractions can be simplified to whole numbers first, just divide each fraction separately: $\frac{40}{2} = 20$ and $\frac{10}{5} = 2$ . This makes the problem much easier.

What order should I follow for the operations?

Follow order of operations (PEMDAS): First simplify the fractions (division), then work left to right for addition and subtraction. So: 20 + 2 - 2 = 22 - 2 = 20.

Why don't I get 40 as the answer?

That's the numerator of the first fraction! Remember to divide: $\frac{40}{2} = 20$ , not just use 40. Always perform the division operation in fractions.

Can I work with mixed numbers instead?

These aren't mixed numbers - they're improper fractions that simplify to whole numbers. Mixed numbers would look like $2\frac{1}{3}$ with a whole part and fraction part.

What if the fractions don't simplify to whole numbers?

Then you'd need to find a common denominator for addition/subtraction. But always try to simplify first - it often makes the problem much easier!

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