Solve (25+3-2)/13 + 5×4: Mixed Operations Practice

Q: Why do I multiply 5×4 before adding it to the fraction?

Because of PEMDAS! Multiplication comes before addition in the order of operations. Think of it as $ \frac{25+3-2}{13} + (5 \times 4) $ - the multiplication creates its own invisible parentheses.

Q: Do I solve the numerator first or the multiplication first?

You can do them in any order since they're separate operations! The fraction bar acts like parentheses around 25+3-2, and multiplication 5×4 is also its own operation. Just don't add them together until both are solved.

Q: What if I forgot to solve inside the fraction first?

The fraction bar acts like parentheses around the numerator! You must solve 25+3-2=26 completely before dividing by 13. Think of it as $ (25+3-2) ÷ 13 $.

Q: How can I remember the order of operations?

Use PEMDAS: Please Excuse My Dear Aunt Sally. This means Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right). The fraction bar counts as parentheses!

Q: Why is my answer different when I use a calculator?

Make sure you're entering it correctly! Use parentheses: (25+3-2)/13+5*4. Without parentheses, calculators might interpret it as 25+3-2/13+5*4, which gives a completely different result.

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:09 Let's start solving our math problem!

00:13 We'll go from left to right to keep it simple.

00:21 Remember, multiplication and division come first before addition and subtraction.

00:27 Okay, let's continue from where we left off!

00:34 Again, multiplication and division are solved before addition and subtraction.

00:40 Now, let's calculate twenty-six divided by thirteen.

00:45 And that's the solution to our question!

Step-by-step written solution

Follow each step carefully to understand the complete solution

1

Understand the problem

Complete the following exercise:

$\frac{25+3-2}{13}+5\cdot4=$

2

Step-by-step solution

According to the order of arithmetic operations, we first place the multiplication exercise inside parentheses:

$\frac{25+3-2}{13}+(5\cdot4)=$

We then solve the multiplication exercise:

$5\times4=20$

We obtain the exercise:

$\frac{25+3-2}{13}+20=$

Next we solve the exercise in the numerator of the fraction:

$25+3-2=28-2=26$

We obtain the fraction:

$\frac{26}{13}=2$

Lastly we obtain the following exercise:

$2+20=22$

3

Final Answer

22

Key Points to Remember

Essential concepts to master this topic

PEMDAS Rule: Solve parentheses, exponents, multiplication/division, then addition/subtraction
Technique: First calculate $25+3-2=26$ , then divide by 13
Check: Work backwards: $22-20=2$ and $2 \times 13 = 26$ ✓

Common Mistakes

Avoid these frequent errors

Working left to right without following order of operations
Don't solve $\frac{25+3-2}{13}+5 \times 4$ by doing 25+3=28, then 28-2=26, then 26÷13=2, then 2+5=7, then 7×4=28! This ignores PEMDAS and gives 28 instead of 22. Always handle multiplication before addition: solve 5×4=20 first, then add it to the fraction result.

Practice Quiz

Test your knowledge with interactive questions

$$ 100+5-100+5 $$

FAQ

Everything you need to know about this question

Why do I multiply 5×4 before adding it to the fraction?

+

Because of PEMDAS! Multiplication comes before addition in the order of operations. Think of it as $\frac{25+3-2}{13} + (5 \times 4)$ - the multiplication creates its own invisible parentheses.

Do I solve the numerator first or the multiplication first?

+

You can do them in any order since they're separate operations! The fraction bar acts like parentheses around 25+3-2, and multiplication 5×4 is also its own operation. Just don't add them together until both are solved.

What if I forgot to solve inside the fraction first?

+

The fraction bar acts like parentheses around the numerator! You must solve 25+3-2=26 completely before dividing by 13. Think of it as $(25+3-2) ÷ 13$ .

How can I remember the order of operations?

+

Use PEMDAS: Please Excuse My Dear Aunt Sally. This means Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right). The fraction bar counts as parentheses!

Why is my answer different when I use a calculator?

+

Make sure you're entering it correctly! Use parentheses: (25+3-2)/13+5*4. Without parentheses, calculators might interpret it as 25+3-2/13+5*4, which gives a completely different result.

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Solve (25+3-2)/13 + 5×4: Mixed Operations Practice

Order of Operations with Fraction Division

❤️ Continue Your Math Journey!

Step-by-step video solution

Step-by-step written solution

Understand the problem

Step-by-step solution

Final Answer

Key Points to Remember

Common Mistakes

Practice Quiz

FAQ

Why do I multiply 5×4 before adding it to the fraction?

Do I solve the numerator first or the multiplication first?

What if I forgot to solve inside the fraction first?

How can I remember the order of operations?

Why is my answer different when I use a calculator?

🌟 Unlock Your Math Potential

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