Solve the Multiplication Problem: 6 × 3/4

Q: Why do I need to write 6 as 6/1?

Writing 6 as $ \frac{6}{1} $ makes it easier to multiply! When both numbers are fractions, you can multiply straight across - numerator times numerator, denominator times denominator.

Q: How do I know when to simplify my answer?

Always check if your fraction can be simplified! Look for common factors in the numerator and denominator. For $ \frac{18}{4} $, both 18 and 4 can be divided by 2.

Q: Should my final answer be an improper fraction or mixed number?

Usually, mixed numbers are preferred for final answers because they're easier to understand. Convert improper fractions like $ \frac{9}{2} $ to mixed numbers like $ 4\frac{1}{2} $.

Q: What if I get confused about which numbers to multiply?

Remember the phrase "multiply across"! Multiply the top numbers together (6 × 3 = 18) and the bottom numbers together (1 × 4 = 4) to get $ \frac{18}{4} $.

Q: How can I check if my answer is right?

Try thinking about it practically! $ \frac{3}{4} $ of 6 is like taking 3 out of every 4 parts of 6. Since 6 ÷ 4 = 1.5, then 3 × 1.5 = 4.5 = $ 4\frac{1}{2} $ ✓

Fraction Multiplication with Whole Numbers

$6\times\frac{3}{4}=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:03 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

00:14 Let's break down 18 into 16 plus 2

00:19 Let's break down the fraction into a whole number and remainder

00:27 Let's convert from improper fraction to whole number and combine with mixed fraction

00:38 Let's reduce what we can

00:46 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

$6\times\frac{3}{4}=$

Step-by-step solution

To solve the problem $6 \times \frac{3}{4}$ , we follow these steps:

Step 1: Express the integer 6 as a fraction: $\frac{6}{1}$ .
Step 2: Multiply the fractions: $\frac{6}{1} \times \frac{3}{4}$ .
Step 3: Multiply the numerators: $6 \times 3 = 18$ .
Step 4: Multiply the denominators: $1 \times 4 = 4$ .
Step 5: Form the resulting fraction: $\frac{18}{4}$ .
Step 6: Simplify the fraction by dividing numerator and denominator by their greatest common divisor, which is 2: $\frac{18}{4} \div \frac{2}{2} = \frac{9}{2}$ .
Step 7: Convert $\frac{9}{2}$ to a mixed number: Divide 9 by 2 to get 4 with a remainder of 1, thus $\frac{9}{2} = 4\frac{1}{2}$ .

Therefore, the solution to the problem is $4\frac{1}{2}$ .

Final Answer

$4\frac{1}{2}$

Key Points to Remember

Essential concepts to master this topic

Rule: Convert whole numbers to fractions over 1 first
Technique: Multiply straight across: $\frac{6}{1} \times \frac{3}{4} = \frac{18}{4}$
Check: Convert to mixed number and verify: $\frac{9}{2} = 4\frac{1}{2}$ ✓

Common Mistakes

Avoid these frequent errors

Adding instead of multiplying fractions
Don't add 6 + 3/4 = 6 3/4! This completely ignores the multiplication sign and gives the wrong operation. Always multiply by converting the whole number to a fraction first, then multiply numerators and denominators.

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 write 6 as 6/1?

Writing 6 as $\frac{6}{1}$ makes it easier to multiply! When both numbers are fractions, you can multiply straight across - numerator times numerator, denominator times denominator.

How do I know when to simplify my answer?

Always check if your fraction can be simplified! Look for common factors in the numerator and denominator. For $\frac{18}{4}$ , both 18 and 4 can be divided by 2.

Should my final answer be an improper fraction or mixed number?

Usually, mixed numbers are preferred for final answers because they're easier to understand. Convert improper fractions like $\frac{9}{2}$ to mixed numbers like $4\frac{1}{2}$ .

What if I get confused about which numbers to multiply?

Remember the phrase "multiply across"! Multiply the top numbers together (6 × 3 = 18) and the bottom numbers together (1 × 4 = 4) to get $\frac{18}{4}$ .

How can I check if my answer is right?

Try thinking about it practically! $\frac{3}{4}$ of 6 is like taking 3 out of every 4 parts of 6. Since 6 ÷ 4 = 1.5, then 3 × 1.5 = 4.5 = $4\frac{1}{2}$ ✓

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Solve the Multiplication Problem: 6 × 3/4

Fraction Multiplication with Whole Numbers

❤️ 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 write 6 as 6/1?

How do I know when to simplify my answer?

Should my final answer be an improper fraction or mixed number?

What if I get confused about which numbers to multiply?

How can I check if my answer is right?

🌟 Unlock Your Math Potential

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