Convert Mixed Number: Simplifying 2 3/300 to Decimal Form

Q: Should I simplify the fraction before converting to decimal?

Yes! Always simplify first. $ \frac{3}{300} $ simplifies to $ \frac{1}{100} $, which is much easier to convert: 1 ÷ 100 = 0.01.

Q: How do I know when a fraction can be simplified?

Look for common factors in the numerator and denominator. Here, both 3 and 300 are divisible by 3, so $ \frac{3}{300} = \frac{1}{100} $.

Q: Can I use a calculator for the division?

Absolutely! But simplifying first makes it easier. Calculating 1 ÷ 100 is simpler than 3 ÷ 300, and both give you 0.01.

Q: How do I add the whole number part?

Simply add the whole number to your decimal: 2 + 0.01 = 2.01. The whole number stays in the ones place, and the decimal continues after the decimal point.

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Convert to decimal fraction

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

00:08 We want the denominator to be some multiple of 10

00:12 Reduce the fraction, make sure to divide both numerator and denominator

00:24 Convert from fraction to decimal fraction

00:37 Add

00:49 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

1

Understand the problem

$2\frac{3}{300}=$

2

Step-by-step solution

To solve the mixed number $2\frac{3}{300}$ , we will convert the fractional part $\frac{3}{300}$ into a decimal:

Step 1: Calculate the decimal equivalent of $\frac{3}{300}$ . We do this by performing the division.
$\frac{3}{300} = 3 \div 300 = 0.01$
Step 2: Add the whole number to this result.
The whole number component is $2$ , and adding the fractional decimal gives $2 + 0.01 = 2.01$ .

Therefore, the decimal representation of $2\frac{3}{300}$ is $2.01$ .

Thus, the solution to the problem is $2.01$ .

3

Final Answer

$2.01$

Key Points to Remember

Essential concepts to master this topic

Rule: Convert fraction to decimal by dividing numerator by denominator
Technique: Simplify first: $\frac{3}{300} = \frac{1}{100} = 0.01$
Check: Add whole and decimal parts: 2 + 0.01 = 2.01 ✓

Common Mistakes

Avoid these frequent errors

Converting without simplifying the fraction first
Don't calculate 3 ÷ 300 directly without simplifying = making division harder! This leads to more complex calculations and potential errors. Always simplify fractions like 3/300 to 1/100 first, then convert.

Practice Quiz

Test your knowledge with interactive questions

Convert into fraction form:

$$ 0.38= $$

FAQ

Everything you need to know about this question

Should I simplify the fraction before converting to decimal?

+

Yes! Always simplify first. $\frac{3}{300}$ simplifies to $\frac{1}{100}$ , which is much easier to convert: 1 ÷ 100 = 0.01.

How do I know when a fraction can be simplified?

+

Look for common factors in the numerator and denominator. Here, both 3 and 300 are divisible by 3, so $\frac{3}{300} = \frac{1}{100}$ .

Can I use a calculator for the division?

+

Absolutely! But simplifying first makes it easier. Calculating 1 ÷ 100 is simpler than 3 ÷ 300, and both give you 0.01.

What if I get a repeating decimal?

+

Some fractions create repeating decimals, but this one doesn't! $\frac{1}{100}$ gives exactly 0.01 because 100 is a power of 10.

How do I add the whole number part?

+

Simply add the whole number to your decimal: 2 + 0.01 = 2.01. The whole number stays in the ones place, and the decimal continues after the decimal point.

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