Solve Fraction Division: 9/10 Divided by 2

Q: Why do I flip the whole number when dividing fractions?

Division is the opposite of multiplication. When you divide by 2, it's the same as multiplying by $ \frac{1}{2} $ (the reciprocal). This turns division into easier multiplication!

Q: How do I find the reciprocal of a whole number?

Put the whole number as the denominator and 1 as the numerator. So the reciprocal of 2 is $ \frac{1}{2} $, and the reciprocal of 5 is $ \frac{1}{5} $.

Q: Should my answer be smaller than the original fraction?

Yes! When you divide by a number greater than 1, your result should be smaller. Since $ \frac{9}{20} $ is less than $ \frac{9}{10} $, our answer makes sense.

Q: Do I need to simplify my final answer?

Always check if you can simplify! Look for common factors in the numerator and denominator. In this case, $ \frac{9}{20} $ cannot be simplified further since 9 and 20 share no common factors.

Q: Can I convert to decimals to check my work?

Absolutely! $ \frac{9}{10} = 0.9 $ and $ 0.9 ÷ 2 = 0.45 $. Converting $ \frac{9}{20} = 0.45 $ confirms our answer is correct!

Fraction Division with Whole Numbers

$\frac{9}{10}:2=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:03 Any number divided by 1 is always equal to itself

00:11 Convert division to multiplication by reciprocal

00:20 Make sure to multiply numerator by numerator and denominator by denominator

00:28 Calculate the multiplications

00:33 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

$\frac{9}{10}:2=$

Step-by-step solution

To solve the problem of dividing $\frac{9}{10}$ by 2, follow these steps:

Step 1: Identify the reciprocal of the whole number 2. The reciprocal of 2 is $\frac{1}{2}$ .
Step 2: Convert the division problem into a multiplication problem using the reciprocal: $\frac{9}{10} \div 2 = \frac{9}{10} \times \frac{1}{2}$ .
Step 3: Perform the multiplication: Multiply the numerators and the denominators.
Calculation: $\frac{9 \times 1}{10 \times 2} = \frac{9}{20}$ .
Step 4: Simplify the fraction if necessary. In this case, $\frac{9}{20}$ is already in its simplest form.

Therefore, the solution to the problem is $\frac{9}{20}$ .

Upon reviewing the provided choices, we identify that choice 4: $\frac{9}{20}$ is correct.

Final Answer

$\frac{9}{20}$

Key Points to Remember

Essential concepts to master this topic

Rule: Dividing by a whole number means multiplying by its reciprocal
Technique: Convert $\frac{9}{10} ÷ 2$ to $\frac{9}{10} × \frac{1}{2} = \frac{9}{20}$
Check: Verify $\frac{9}{20} × 2 = \frac{9}{10}$ returns original fraction ✓

Common Mistakes

Avoid these frequent errors

Dividing the denominator by the whole number instead of multiplying
Don't change $\frac{9}{10} ÷ 2$ to $\frac{9}{5}$ by dividing 10 ÷ 2 = 5! This gives a larger answer when division should make numbers smaller. Always multiply by the reciprocal: $\frac{9}{10} × \frac{1}{2}$ .

Practice Quiz

Test your knowledge with interactive questions

$\frac{1}{2}:3=$ $$ $$ $$

FAQ

Everything you need to know about this question

Why do I flip the whole number when dividing fractions?

Division is the opposite of multiplication. When you divide by 2, it's the same as multiplying by $\frac{1}{2}$ (the reciprocal). This turns division into easier multiplication!

How do I find the reciprocal of a whole number?

Put the whole number as the denominator and 1 as the numerator. So the reciprocal of 2 is $\frac{1}{2}$ , and the reciprocal of 5 is $\frac{1}{5}$ .

Should my answer be smaller than the original fraction?

Yes! When you divide by a number greater than 1, your result should be smaller. Since $\frac{9}{20}$ is less than $\frac{9}{10}$ , our answer makes sense.

Do I need to simplify my final answer?

Always check if you can simplify! Look for common factors in the numerator and denominator. In this case, $\frac{9}{20}$ cannot be simplified further since 9 and 20 share no common factors.

Can I convert to decimals to check my work?

Absolutely! $\frac{9}{10} = 0.9$ and $0.9 ÷ 2 = 0.45$ . Converting $\frac{9}{20} = 0.45$ confirms our answer is correct!

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