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

Are they the same numbers?

$0.1\stackrel{?}{=}0.10$

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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