Convert Fraction to Percentage: Solving 4.4/100

Q: Why doesn't 4.4/100 just equal 4.4%?

The fraction $ \frac{4.4}{100} $ equals 0.044 as a decimal. To get the percentage, you must multiply by 100%: 0.044 × 100% = 4.4%.

Q: Can I simplify the fraction first before converting?

Yes! You can simplify $ \frac{4.4}{100} = \frac{44}{1000} = \frac{11}{250} $ first, then convert. But it's often easier to work with the original fraction.

Q: What if the numerator is bigger than the denominator?

No problem! If you have $ \frac{150}{100} $, it converts to 150%. Percentages can be greater than 100%.

Q: How do I remember the conversion formula?

Think: "Per-cent means per 100". So to convert any fraction to percentage, you need to express it "per 100" by multiplying by $ \frac{100}{100} $ (which equals 1).

Q: Why is my answer 44% wrong?

Getting 44% means you probably forgot the decimal point! $ \frac{4.4}{100} \neq \frac{44}{100} $. The decimal 4.4 is different from the whole number 44.

Fraction to Percentage with Decimal Numerators

Convert the fraction into a percentage:

$\frac{4.4}{100}=\text{?}$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Convert fractions to percentages

00:05 A fraction with a denominator equal to 100 equals the numerator in percentage form (X)

00:13 Apply this formula to our exercise

00:19 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Convert the fraction into a percentage:

$\frac{4.4}{100}=\text{?}$

Step-by-step solution

To convert a fraction to a percentage, we use the formula:

$\frac{a}{b} \times 100\%$

Identify the fraction: $\frac{4.4}{100}$
Apply the formula: $4.4×100\%=4.4\%$

The fraction $\frac{4.4}{100}$ is equivalent to 4.4%.

Therefore, the solution to the problem is 4.4%.

Final Answer

4.4%

Key Points to Remember

Essential concepts to master this topic

Formula: Fraction to percentage uses $\frac{a}{b} \times 100\%$
Technique: $\frac{4.4}{100} \times 100\% = 4.4\%$
Check: 4.4% as decimal is 0.044, and 4.4/100 = 0.044 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to multiply by 100 when converting
Don't just calculate 4.4 ÷ 100 = 0.044 and call it your percentage! This gives the decimal form, not the percentage. Always multiply by 100% to convert: (4.4/100) × 100% = 4.4%.

Practice Quiz

Test your knowledge with interactive questions

Convert the fraction into a percentage:

$\frac{2}{100}=\text{?}$

FAQ

Everything you need to know about this question

Why doesn't 4.4/100 just equal 4.4%?

The fraction $\frac{4.4}{100}$ equals 0.044 as a decimal. To get the percentage, you must multiply by 100%: 0.044 × 100% = 4.4%.

Can I simplify the fraction first before converting?

Yes! You can simplify $\frac{4.4}{100} = \frac{44}{1000} = \frac{11}{250}$ first, then convert. But it's often easier to work with the original fraction.

What if the numerator is bigger than the denominator?

No problem! If you have $\frac{150}{100}$ , it converts to 150%. Percentages can be greater than 100%.

How do I remember the conversion formula?

Think: "Per-cent means per 100". So to convert any fraction to percentage, you need to express it "per 100" by multiplying by $\frac{100}{100}$ (which equals 1).

Why is my answer 44% wrong?

Getting 44% means you probably forgot the decimal point! $\frac{4.4}{100} \neq \frac{44}{100}$ . The decimal 4.4 is different from the whole number 44.

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