Solve Mixed Number Equation: Converting 2 4/200 to Decimal Form

Q: Why should I simplify the fraction before converting to decimal?

Simplifying makes the conversion much easier! Converting $ \frac{2}{100} $ to 0.02 is instant, while $ \frac{4}{200} $ requires more complex division.

Q: How do I know when a fraction is fully simplified?

A fraction is simplified when the numerator and denominator share no common factors except 1. For $ \frac{4}{200} $, both are divisible by 2, so we get $ \frac{2}{100} $.

Q: Can I convert mixed numbers to decimals without separating the parts?

Always separate first! Convert the whole number (2) and fraction ($ \frac{4}{200} $) separately, then add: 2 + 0.02 = 2.02. This prevents calculation errors.

Q: How can I remember that 2/100 equals 0.02?

Think "2 out of 100" = 2 hundredths = 0.02. The denominator 100 tells you the decimal goes to the hundredths place, and the numerator 2 is your digits.

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

00:07 We want the denominator to be some multiple of 10 and 10

00:10 Reduce the fraction, make sure to divide both numerator and denominator

00:26 Convert from fraction to decimal fraction

00:37 Add

00:45 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

$2\frac{4}{200}=$

2

Step-by-step solution

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

Step 1: Convert $\frac{4}{200}$ to a fraction with a denominator of 100.
Step 2: Convert the resulting fraction to a decimal.
Step 3: Add the integer part 2 to the decimal.

Now, let's work through each step:

Step 1: Simplifying $\frac{4}{200}$ .
We can simplify this fraction by dividing both the numerator and the denominator by 2:
$\frac{4}{200} = \frac{4 \div 2}{200 \div 2} = \frac{2}{100}$

Step 2: Convert $\frac{2}{100}$ to a decimal.
The fraction $\frac{2}{100}$ translates directly to the decimal $0.02$ because it represents 2 parts out of 100.

Step 3: Add the decimal to the integer part.
$2 + 0.02 = 2.02$

Therefore, the solution to the problem is $\mathbf{2.02}$ .

3

Final Answer

$2.02$

Key Points to Remember

Essential concepts to master this topic

Rule: Convert mixed numbers by adding whole and fractional parts
Technique: Simplify $\frac{4}{200} = \frac{2}{100} = 0.02$ first
Check: Verify $2 + 0.02 = 2.02$ matches original mixed number ✓

Common Mistakes

Avoid these frequent errors

Converting fraction to decimal without simplifying first
Don't convert $\frac{4}{200}$ directly to decimal = confusing calculation! Working with large numbers like 200 makes division harder and increases error chances. Always simplify the fraction to $\frac{2}{100}$ first for easier conversion.

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 should I simplify the fraction before converting to decimal?

+

Simplifying makes the conversion much easier! Converting $\frac{2}{100}$ to 0.02 is instant, while $\frac{4}{200}$ requires more complex division.

How do I know when a fraction is fully simplified?

+

A fraction is simplified when the numerator and denominator share no common factors except 1. For $\frac{4}{200}$ , both are divisible by 2, so we get $\frac{2}{100}$ .

Can I convert mixed numbers to decimals without separating the parts?

+

Always separate first! Convert the whole number (2) and fraction ( $\frac{4}{200}$ ) separately, then add: 2 + 0.02 = 2.02. This prevents calculation errors.

What if I get a different decimal answer?

+

Double-check your fraction simplification! Common errors include forgetting to reduce or making arithmetic mistakes. $\frac{4}{200} = \frac{2}{100} = 0.02$ , not 0.2 or 0.002.

How can I remember that 2/100 equals 0.02?

+

Think "2 out of 100" = 2 hundredths = 0.02. The denominator 100 tells you the decimal goes to the hundredths place, and the numerator 2 is your digits.

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Solve Mixed Number Equation: Converting 2 4/200 to Decimal Form

Mixed Number Conversion with Fraction Simplification

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