Compare Fraction and Decimal: 12/10 ? 1.2 Relationship

Q: Why do I need to convert the fraction to a decimal?

Converting to the same form makes comparison much easier! When both numbers are decimals (1.2 and 1.2), you can see immediately that they're equal.

Q: Can I convert the decimal to a fraction instead?

Yes! You can write 1.2 as $ \frac{12}{10} $. Either way works - just make sure both numbers are in the same form before comparing.

Q: How do I divide 12 by 10 to get 1.2?

Think of it as 12.0 ÷ 10. The decimal point moves one place to the left: 12.0 becomes 1.20, which is simply 1.2.

Q: What if I get a different decimal when dividing?

Double-check your division! $ \frac{12}{10} $ should always equal 1.2. If you get something else, recalculate step by step.

Q: Are 12/10 and 1.2 really exactly the same?

Yes, absolutely! They represent the exact same mathematical value - just written in different forms. It's like saying "one and two-tenths" in two different ways.

Comparing Fractions with Decimal Conversion

Choose the appropriate sign:

$\frac{12}{10}?1.2$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Choose the appropriate sign

00:19 Divide by ten, meaning move the decimal point one digit to the left

00:23 We can see that the numbers are equal

00:27 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

Choose the appropriate sign:

$\frac{12}{10}?1.2$

Step-by-step solution

First, we will convert the simple fraction to a decimal fraction.

We will write the numerator of the fraction in decimal form and divide by 10 as follows:

$12=12.0$

$\frac{12.0}{10}=1.2$

Now we can compare the two fractions and observe that:

$\frac{12}{10}=1.2$

Final Answer

$=$

Key Points to Remember

Essential concepts to master this topic

Rule: Convert fractions to decimals by dividing numerator by denominator
Technique: Divide 12 ÷ 10 = 1.2 to compare with 1.2
Check: Both forms represent same value: $\frac{12}{10} = 1.2$ ✓

Common Mistakes

Avoid these frequent errors

Comparing numerators and denominators separately
Don't compare 12 > 1 and 10 > 2 separately = wrong conclusion! This ignores what the fraction actually represents as a whole number. Always convert the fraction to decimal form first, then compare the complete values.

Practice Quiz

Test your knowledge with interactive questions

Which decimal number is greater?

FAQ

Everything you need to know about this question

Why do I need to convert the fraction to a decimal?

Converting to the same form makes comparison much easier! When both numbers are decimals (1.2 and 1.2), you can see immediately that they're equal.

Can I convert the decimal to a fraction instead?

Yes! You can write 1.2 as $\frac{12}{10}$ . Either way works - just make sure both numbers are in the same form before comparing.

How do I divide 12 by 10 to get 1.2?

Think of it as 12.0 ÷ 10. The decimal point moves one place to the left: 12.0 becomes 1.20, which is simply 1.2.

What if I get a different decimal when dividing?

Double-check your division! $\frac{12}{10}$ should always equal 1.2. If you get something else, recalculate step by step.

Are 12/10 and 1.2 really exactly the same?

Yes, absolutely! They represent the exact same mathematical value - just written in different forms. It's like saying "one and two-tenths" in two different ways.

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