Complete the Decimal: Express 1.3 in Standard Form

Q: Why do I need to separate the whole number part?

A mixed number specifically shows the whole number and fraction parts separately. This makes it easier to understand the size of the number - you can see it's "1 and a little bit more."

Q: How do I know what denominator to use?

Look at the place value of the decimal! Since 0.3 is in the tenths place, the denominator is 10. If it were 0.03, that's hundredths, so the denominator would be 100.

Q: What if the decimal has more than one digit?

Same process! For example, $ 2.47 = 2\frac{47}{100} $ because 0.47 represents 47 hundredths.

Q: Can I simplify the fraction part?

Always simplify when possible! If you had $ 1.5 = 1\frac{5}{10} $, simplify to $ 1\frac{1}{2} $ by dividing both numerator and denominator by their GCD.

Decimal to Mixed Number Conversion

$1.3=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:03 Let's convert this into a mixed fraction.

00:07 First, break the number into a whole part and a remainder.

00:12 Next, change the remainder into a fraction.

00:15 Now, let's combine them to form a mixed fraction.

00:20 And there you have it, the solution to our problem!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$1.3=$

Step-by-step solution

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

Step 1: Recognize that the decimal number $1.3$ can be split into its whole number and decimal parts: $1$ and $0.3$ .
Step 2: Convert the decimal part $0.3$ to a fraction. Since $0.3$ is equivalent to $\frac{3}{10}$ , we have converted the decimal to a fraction with a denominator of 10.
Step 3: Combine the whole number part and the fractional part to form a mixed number. Thus, $1.3$ is equivalent to $1\frac{3}{10}$ .

Therefore, the solution to the problem is $1\frac{3}{10}$ .

Final Answer

$1\frac{3}{10}$

Key Points to Remember

Essential concepts to master this topic

Rule: Separate whole number from decimal parts first
Technique: Convert 0.3 to $\frac{3}{10}$ using place value
Check: Verify $1\frac{3}{10} = 1 + \frac{3}{10} = 1.3$ ✓

Common Mistakes

Avoid these frequent errors

Converting decimal directly to improper fraction
Don't write 1.3 as $\frac{13}{10}$ when asked for mixed number form = wrong format! This gives the correct value but wrong representation. Always separate the whole number first, then convert only the decimal part to a fraction.

Practice Quiz

Test your knowledge with interactive questions

Convert into fraction form:

$$ 0.38= $$

FAQ

Everything you need to know about this question

Why do I need to separate the whole number part?

A mixed number specifically shows the whole number and fraction parts separately. This makes it easier to understand the size of the number - you can see it's "1 and a little bit more."

How do I know what denominator to use?

Look at the place value of the decimal! Since 0.3 is in the tenths place, the denominator is 10. If it were 0.03, that's hundredths, so the denominator would be 100.

What if the decimal has more than one digit?

Same process! For example, $2.47 = 2\frac{47}{100}$ because 0.47 represents 47 hundredths.

Can I simplify the fraction part?

Always simplify when possible! If you had $1.5 = 1\frac{5}{10}$ , simplify to $1\frac{1}{2}$ by dividing both numerator and denominator by their GCD.

How do I check if my mixed number is correct?

Convert back to decimal: multiply the fraction part and add to the whole number. For $1\frac{3}{10}$ , calculate $\frac{3}{10} = 0.3$ , then $1 + 0.3 = 1.3$ ✓

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