Solve: Multiplying 8 by 5/9 - Step-by-Step Calculation

Q: Why do I need to convert 8 to a fraction first?

Converting 8 to $ \frac{8}{1} $ helps you see the multiplication clearly! It makes the rule multiply numerators, multiply denominators work perfectly for any fraction problem.

Q: How do I convert the improper fraction to a mixed number?

Divide the numerator by the denominator: 40 ÷ 9 = 4 remainder 4. The quotient becomes the whole number, and the remainder becomes the new numerator over the same denominator!

Q: Can I simplify 4/9 further?

No, $ \frac{4}{9} $ is already in simplest form because 4 and 9 share no common factors except 1. Always check if you can reduce your fraction!

Q: What if I get confused with the mixed number format?

Remember: $ 4\frac{4}{9} $ means 4 plus 4/9, not 4 times 4/9! The whole number and fraction are added together, so $ 4\frac{4}{9} = 4 + \frac{4}{9} $.

Q: How can I check if my mixed number is correct?

Convert back to an improper fraction: $ 4\frac{4}{9} = \frac{(4 \times 9) + 4}{9} = \frac{40}{9} $. If this matches your original calculation, you're right!

Fraction Multiplication with Mixed Number Results

$8\times\frac{5}{9}=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:04 Let's move the product to the numerator

00:08 Let's calculate the product

00:11 Now let's convert to a mixed fraction

00:15 Let's break down 40 into 36 plus 4

00:22 Let's break down the fraction into a whole number and remainder

00:28 Let's convert from improper fraction to whole number, and combine with mixed fraction

00:38 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$8\times\frac{5}{9}=$

Step-by-step solution

To solve the problem of multiplying $8$ by $\frac{5}{9}$ , we can follow these steps:

Step 1: Convert the whole number $8$ into a fraction by expressing it as $\frac{8}{1}$ .
Step 2: Multiply the numerators together: $8 \times 5 = 40$ .
Step 3: Multiply the denominators together: $1 \times 9 = 9$ .
Step 4: Write the product as a fraction: $\frac{40}{9}$ .
Step 5: Convert the improper fraction $\frac{40}{9}$ into a mixed number:

Divide 40 by 9, which gives 4 (quotient) with a remainder of 4.
Write the mixed number as $4\frac{4}{9}$ .

Therefore, the solution to the multiplication problem $8 \times \frac{5}{9}$ is $4\frac{4}{9}$ .

Final Answer

$4\frac{4}{9}$

Key Points to Remember

Essential concepts to master this topic

Rule: Multiply whole number by fraction: convert whole to fraction first
Technique: Calculate $\frac{8}{1} \times \frac{5}{9} = \frac{40}{9}$ then convert to mixed
Check: Verify $4\frac{4}{9} = \frac{40}{9}$ by converting back to improper ✓

Common Mistakes

Avoid these frequent errors

Adding instead of multiplying fractions
Don't add 8 + 5/9 = 8 5/9! This completely ignores the multiplication operation and gives a much larger result. Always multiply: 8 × 5 = 40 in the numerator, keeping 9 in the denominator.

Practice Quiz

Test your knowledge with interactive questions

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

FAQ

Everything you need to know about this question

Why do I need to convert 8 to a fraction first?

Converting 8 to $\frac{8}{1}$ helps you see the multiplication clearly! It makes the rule multiply numerators, multiply denominators work perfectly for any fraction problem.

How do I convert the improper fraction to a mixed number?

Divide the numerator by the denominator: 40 ÷ 9 = 4 remainder 4. The quotient becomes the whole number, and the remainder becomes the new numerator over the same denominator!

Can I simplify 4/9 further?

No, $\frac{4}{9}$ is already in simplest form because 4 and 9 share no common factors except 1. Always check if you can reduce your fraction!

What if I get confused with the mixed number format?

Remember: $4\frac{4}{9}$ means 4 plus 4/9, not 4 times 4/9! The whole number and fraction are added together, so $4\frac{4}{9} = 4 + \frac{4}{9}$ .

How can I check if my mixed number is correct?

Convert back to an improper fraction: $4\frac{4}{9} = \frac{(4 \times 9) + 4}{9} = \frac{40}{9}$ . If this matches your original calculation, you're right!

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Solve: Multiplying 8 by 5/9 - Step-by-Step Calculation

Fraction Multiplication with Mixed Number Results

❤️ 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 need to convert 8 to a fraction first?

How do I convert the improper fraction to a mixed number?

Can I simplify 4/9 further?

What if I get confused with the mixed number format?

How can I check if my mixed number is correct?

🌟 Unlock Your Math Potential

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