Simplify the Fraction: Finding the Equivalent Value of 15/25

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

Simplifying makes the division much easier! Converting $ \frac{3}{5} $ to decimal is simpler than $ \frac{15}{25} $ - you get the same answer with less work.

Q: How do I find the greatest common divisor quickly?

Look for common factors in both numbers. For 15 and 25, both are divisible by 5. Divide: $ \frac{15÷5}{25÷5} = \frac{3}{5} $

Q: What if my decimal has many digits?

Some fractions create repeating decimals like $ \frac{1}{3} = 0.333... $ Round to the required number of decimal places or leave as a fraction.

Fraction to Decimal with Equivalent Forms

Which number is equal to $\frac{15}{25}$ ?

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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 Convert the fraction to a fraction with denominator of 100

00:07 Make sure to multiply both numerator and denominator

00:16 When the denominator equals 100, the numerator is the decimal number

00:21 When dividing by 100, the decimal point moves two places to the left

00:28 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

Which number is equal to $\frac{15}{25}$ ?

Step-by-step solution

First let's multiply both the numerator and denominator by a number that will help us reach 100 in the denominator:

$\frac{15\times4}{25\times4}=\frac{60}{100}$

Then we'll rewrite the simple fraction as a decimal:

$60.0$

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

$.600$

We will finally add the 0 before the decimal point to get our answer:

$0.600=0.6$

Final Answer

0.6

Key Points to Remember

Essential concepts to master this topic

Simplification: Find GCD of numerator and denominator first
Technique: Convert $\frac{15}{25}$ by dividing both by 5
Check: Verify 15 ÷ 25 = 0.6 using long division ✓

Common Mistakes

Avoid these frequent errors

Converting fraction to decimal without simplifying first
Don't convert $\frac{15}{25}$ directly to decimal = harder division! This makes calculations more complex and error-prone. Always simplify to $\frac{3}{5}$ first, then convert to 0.6.

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 division much easier! Converting $\frac{3}{5}$ to decimal is simpler than $\frac{15}{25}$ - you get the same answer with less work.

How do I find the greatest common divisor quickly?

Look for common factors in both numbers. For 15 and 25, both are divisible by 5. Divide: $\frac{15÷5}{25÷5} = \frac{3}{5}$

Can I use a calculator to convert fractions to decimals?

Yes! Simply divide the numerator by the denominator: 15 ÷ 25 = 0.6. But understanding the process helps you work without a calculator too.

What if my decimal has many digits?

Some fractions create repeating decimals like $\frac{1}{3} = 0.333...$ Round to the required number of decimal places or leave as a fraction.

How can I check if my decimal conversion is correct?

Multiply your decimal by the original denominator: 0.6 × 25 = 15. If you get the original numerator, you're correct!

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