Express the Value: Finding the Equivalent of 1.2

Q: How do I know which part is the whole number and which is the fraction?

In $ 1.2 $, everything before the decimal point is the whole number (1), and everything after the decimal point becomes the fraction part (0.2 = $ \frac{2}{10} $).

Q: Why is 0.2 equal to 2/10?

The decimal place tells you the denominator! Since 0.2 has one decimal place, it represents tenths. So 0.2 means 2 tenths = $ \frac{2}{10} $.

Q: Should I simplify the fraction 2/10?

While you can simplify $ \frac{2}{10} $ to $ \frac{1}{5} $, both forms are correct! The question shows the answer as $ 1\frac{2}{10} $, so either form works.

Q: What if the decimal has more places, like 1.23?

Count the decimal places! $ 1.23 $ has two decimal places, so it becomes $ 1\frac{23}{100} $ (twenty-three hundredths).

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

Convert it back to decimal! $ 1\frac{2}{10} = 1 + \frac{2}{10} = 1 + 0.2 = 1.2 $ ✓

Decimal to Mixed Number Conversion

$\text{1}.2=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Convert to mixed number

00:03 Break down the number into whole number and remainder

00:06 Convert the remainder to fraction

00:11 Combine into mixed number

00:17 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

$\text{1}.2=$

Step-by-step solution

To solve this problem, we'll follow these steps:

Step 1: Identify the whole number part and the decimal part of $1.2$ .
Step 2: Convert the decimal part $0.2$ into a fraction.
Step 3: Combine the whole number and the fraction into a mixed number.

Now, let's work through each step:
Step 1: The whole number part is $1$ , and the decimal part is $0.2$ .
Step 2: Since $0.2 = \frac{2}{10}$ , we convert the decimal into the fraction $\frac{2}{10}$ .
Step 3: Combining these, we have the mixed number $1\frac{2}{10}$ .

Therefore, the solution to converting $1.2$ is $1\frac{2}{10}$ , which corresponds to option 3.

Final Answer

$1\frac{2}{10}$

Key Points to Remember

Essential concepts to master this topic

Concept: Decimals can be expressed as mixed numbers or fractions
Method: Convert 0.2 to $\frac{2}{10}$ then combine with whole number
Verify: Check that $1\frac{2}{10} = 1 + 0.2 = 1.2$ ✓

Common Mistakes

Avoid these frequent errors

Writing only the fractional part without the whole number
Don't write just $\frac{2}{10}$ = 0.2 instead of 1.2! This ignores the whole number part and gives a completely different value. Always include both the whole number (1) and fractional part ( $\frac{2}{10}$ ) as $1\frac{2}{10}$ .

Practice Quiz

Test your knowledge with interactive questions

Write the following fraction as a decimal:

$\frac{1}{100}=$

FAQ

Everything you need to know about this question

How do I know which part is the whole number and which is the fraction?

In $1.2$ , everything before the decimal point is the whole number (1), and everything after the decimal point becomes the fraction part (0.2 = $\frac{2}{10}$ ).

Why is 0.2 equal to 2/10?

The decimal place tells you the denominator! Since 0.2 has one decimal place, it represents tenths. So 0.2 means 2 tenths = $\frac{2}{10}$ .

Should I simplify the fraction 2/10?

While you can simplify $\frac{2}{10}$ to $\frac{1}{5}$ , both forms are correct! The question shows the answer as $1\frac{2}{10}$ , so either form works.

What if the decimal has more places, like 1.23?

Count the decimal places! $1.23$ has two decimal places, so it becomes $1\frac{23}{100}$ (twenty-three hundredths).

How can I check if my mixed number is correct?

Convert it back to decimal! $1\frac{2}{10} = 1 + \frac{2}{10} = 1 + 0.2 = 1.2$ ✓

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