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

$74+32+6+4+4=\text{?}$

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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