Convert Mixed Number 2 3/10 to Decimal Form: Step-by-Step Solution

Q: Why does 3/10 equal 0.3 and not 0.03?

When the denominator is 10, the numerator goes in the tenths place (first digit after decimal). So 3/10 = 0.3, while 3/100 would be 0.03 in the hundredths place.

Q: What if the fraction part doesn't have 10 as denominator?

You can still convert! For example, $ \frac{1}{4} = 0.25 $ and $ \frac{3}{8} = 0.375 $. Use long division or find an equivalent fraction with denominator 10, 100, etc.

Q: Can I just write 2 3/10 without converting?

Both forms are correct! Mixed numbers and decimals represent the same value. However, when asked specifically to convert to decimal form, you must write 2.3.

Q: What's the easiest way to remember this?

Think: "Whole number + fraction = whole number + decimal". The plus sign in the middle reminds you to add them together: $ 2 + 0.3 = 2.3 $.

Mixed Numbers with Decimal Conversion

$2\frac{3}{10}=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Convert to decimal fraction

00:03 Break down into whole number and fraction

00:10 Convert from fraction to decimal fraction

00:19 Add

00:32 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

$2\frac{3}{10}=$

Step-by-step solution

To solve this problem, we'll convert the mixed number $2\frac{3}{10}$ into a decimal form.

Step 1: Convert the fractional part $\frac{3}{10}$ to a decimal. Since the denominator is 10, we convert it directly: $\frac{3}{10} = 0.3$ .
Step 2: Combine the whole number and the decimal fraction. The whole number is $2$ , so adding the decimal gives us $2 + 0.3 = 2.3$ .
Step 3: Check against the answer choices provided. The correct decimal equivalent of $2\frac{3}{10}$ is $2.3$ which matches choice number 3.

Therefore, the solution to the problem is $\text{2}.3$ .

Final Answer

$\text{2}.3$

Key Points to Remember

Essential concepts to master this topic

Rule: Convert fraction part first, then add to whole number
Technique: $\frac{3}{10} = 0.3$ because denominator 10 moves decimal one place
Check: Verify $2.3 = 2 + \frac{3}{10}$ by converting back ✓

Common Mistakes

Avoid these frequent errors

Converting the whole number part incorrectly
Don't change the whole number 2 into a decimal like 0.2 = wrong result of 0.5! The whole number stays as is. Always keep the whole number unchanged and only convert the fraction part.

Practice Quiz

Test your knowledge with interactive questions

Write the following fraction as a decimal:

$\frac{5}{100}=$

FAQ

Everything you need to know about this question

Why does 3/10 equal 0.3 and not 0.03?

When the denominator is 10, the numerator goes in the tenths place (first digit after decimal). So 3/10 = 0.3, while 3/100 would be 0.03 in the hundredths place.

What if the fraction part doesn't have 10 as denominator?

You can still convert! For example, $\frac{1}{4} = 0.25$ and $\frac{3}{8} = 0.375$ . Use long division or find an equivalent fraction with denominator 10, 100, etc.

Can I just write 2 3/10 without converting?

Both forms are correct! Mixed numbers and decimals represent the same value. However, when asked specifically to convert to decimal form, you must write 2.3.

How do I convert back from decimal to mixed number?

The whole number part stays the same (2), and the decimal part becomes the fraction: 0.3 = $\frac{3}{10}$ . So 2.3 = $2\frac{3}{10}$ !

What's the easiest way to remember this?

Think: "Whole number + fraction = whole number + decimal". The plus sign in the middle reminds you to add them together: $2 + 0.3 = 2.3$ .

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