Find the Equal Value: Determining the Number Equal to 2/25

Q: Why do I multiply by 4 to get 100 in the denominator?

Because 25 × 4 = 100! We need 100 in the denominator to easily convert to a decimal. Since we multiply the denominator by 4, we must also multiply the numerator by 4 to keep the fraction equal.

Q: How do I remember which way to move the decimal point?

Think of it this way: dividing by 100 makes numbers smaller, so the decimal moves left. Dividing by 10 = 1 place left, dividing by 100 = 2 places left!

Q: What if I get 8/100 but forget how to convert it?

$ \frac{8}{100} $ means "8 hundredths." Write it as 0.08 - the 8 goes in the hundredths place (second digit after the decimal point).

Q: Why is 0.8 wrong if 8/10 = 0.8?

Because $ \frac{2}{25} $ does not equal $ \frac{8}{10} $! When we multiply by 4, we get $ \frac{8}{100} $, which equals 0.08, not 0.8.

Fraction to Decimal with Denominator Multiplication

Which number is equal to $\frac{2}{25}$ ?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:04 Let's convert to a decimal fraction.

00:07 Change the fraction so it has a denominator of 100.

00:10 Remember to multiply both the top and bottom numbers.

00:17 Once the denominator is 100, the top number becomes the decimal.

00:24 When dividing by 100, move the decimal point two places to the left.

00:33 And that's how we solve this problem.

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Which number is equal to $\frac{2}{25}$ ?

Step-by-step solution

Firstly we will multiply the numerator and the denominator by a number that will help us reach 100 in the denominator:

$\frac{2\times4}{25\times4}=\frac{8}{100}$

Now let's rewrite the simple fraction as a decimal fraction:

$8.0$

Since we are dividing by 100, the decimal point will move two places to the left, giving us:

$.080$

Finally we will add the 0 before the decimal point to get:

$0.080=0.08$

Final Answer

0.08

Key Points to Remember

Essential concepts to master this topic

Rule: Multiply both numerator and denominator to reach 100
Technique: Convert $\frac{2}{25}$ to $\frac{8}{100}$ by multiplying by 4
Check: Verify 0.08 × 25 = 2, confirming the decimal conversion ✓

Common Mistakes

Avoid these frequent errors

Moving decimal point incorrectly when dividing by 100
Don't move the decimal point just one place to get 0.8 = wrong answer! Dividing by 100 means the decimal moves two places left, not one. Always count carefully: 8 ÷ 100 moves two places left to get 0.08.

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 100 in the denominator?

Because 25 × 4 = 100! We need 100 in the denominator to easily convert to a decimal. Since we multiply the denominator by 4, we must also multiply the numerator by 4 to keep the fraction equal.

How do I remember which way to move the decimal point?

Think of it this way: dividing by 100 makes numbers smaller, so the decimal moves left. Dividing by 10 = 1 place left, dividing by 100 = 2 places left!

What if I get 8/100 but forget how to convert it?

$\frac{8}{100}$ means "8 hundredths." Write it as 0.08 - the 8 goes in the hundredths place (second digit after the decimal point).

Can I just divide 2 ÷ 25 directly?

Yes! But it's often easier to use the multiplication method first. If you divide directly, you get the same answer: 2 ÷ 25 = 0.08.

Why is 0.8 wrong if 8/10 = 0.8?

Because $\frac{2}{25}$ does not equal $\frac{8}{10}$ ! When we multiply by 4, we get $\frac{8}{100}$ , which equals 0.08, not 0.8.

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