Convert Mixed Number: Finding the Decimal for 1 1/25

Q: Why do I multiply by 4 to get from 25 to 100?

Because 25 × 4 = 100! We need a denominator that's a power of 10 (like 10, 100, 1000) to easily convert to decimals. Since 100 ÷ 25 = 4, we multiply both numerator and denominator by 4.

Q: What if the fraction doesn't convert to 100 easily?

You can use long division instead! Divide the numerator by the denominator: 1 ÷ 25 = 0.04. This method works for any fraction, even when the denominator isn't a factor of 100.

Q: How do I know if 1.04 is right?

Convert back to check! $ 1.04 = 1 + 0.04 = 1 + \frac{4}{100} = 1 + \frac{1}{25} = 1\frac{1}{25} $ ✓

Q: Can I just divide 1 by 25 and add 1?

Absolutely! That's actually the most direct method. $ 1 ÷ 25 = 0.04 $, then $ 1 + 0.04 = 1.04 $. Both approaches give the same answer!

Q: Why not just write it as 1.1/25?

That's not proper mathematical notation! Mixed numbers have a whole part and a fraction part, while decimals express everything as one number. You must choose one format or the other.

Mixed Number Conversion with Decimal Equivalents

$1\frac{1}{25}=$

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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 the number into whole number and fraction

00:08 Reduce the fraction, make sure to divide both numerator and denominator

00:11 We want the denominator to be some multiple of 10 and 10

00:30 Let's add

00:34 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

$1\frac{1}{25}=$

Step-by-step solution

To convert $1\frac{1}{25}$ into a decimal, we proceed as follows:

Step 1: Identify the fractional part $\frac{1}{25}$ .
Step 2: Convert $\frac{1}{25}$ into a fraction with a denominator of 100, because 100 is a multiple of 25. We do this by finding an appropriate factor: $\frac{1 \times 4}{25 \times 4} = \frac{4}{100}$ .
Step 3: Convert $\frac{4}{100}$ into a decimal, which is $0.04$ .
Step 4: Add this decimal to the whole number 1. Therefore, $1 + 0.04 = 1.04$ .

Thus, the solution to the problem is $1.04$ .

Final Answer

$1.04$

Key Points to Remember

Essential concepts to master this topic

Rule: Convert fractional part to decimal, then add whole number
Technique: Transform $\frac{1}{25}$ to $\frac{4}{100} = 0.04$
Check: Verify 1 + 0.04 = 1.04 matches original mixed number ✓

Common Mistakes

Avoid these frequent errors

Adding the denominator to the whole number
Don't add 1 + 25 = 26 thinking the denominator becomes the decimal part! This ignores the fraction completely and gives a completely wrong number. Always convert the fraction $\frac{1}{25}$ to its decimal form 0.04 first.

Practice Quiz

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How much of the whole does the shaded area (blue) represent?

FAQ

Everything you need to know about this question

Why do I multiply by 4 to get from 25 to 100?

Because 25 × 4 = 100! We need a denominator that's a power of 10 (like 10, 100, 1000) to easily convert to decimals. Since 100 ÷ 25 = 4, we multiply both numerator and denominator by 4.

What if the fraction doesn't convert to 100 easily?

You can use long division instead! Divide the numerator by the denominator: 1 ÷ 25 = 0.04. This method works for any fraction, even when the denominator isn't a factor of 100.

How do I know if 1.04 is right?

Convert back to check! $1.04 = 1 + 0.04 = 1 + \frac{4}{100} = 1 + \frac{1}{25} = 1\frac{1}{25}$ ✓

Can I just divide 1 by 25 and add 1?

Absolutely! That's actually the most direct method. $1 ÷ 25 = 0.04$ , then $1 + 0.04 = 1.04$ . Both approaches give the same answer!

Why not just write it as 1.1/25?

That's not proper mathematical notation! Mixed numbers have a whole part and a fraction part, while decimals express everything as one number. You must choose one format or the other.

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