Solve the Fraction Problem: Finding the Value of 60/300

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

Simplifying makes the math easier! Converting $ \frac{20}{100} $ to decimal is much simpler than $ \frac{60}{300} $ because you can see that 100 means two decimal places.

Q: How do I know where to place the decimal point?

Count the zeros in the denominator! When you have 100 in the denominator, the decimal point moves two places to the left. So 20 becomes 0.20 or 0.2.

Q: What if I can't find a common factor to simplify?

Look for the greatest common divisor (GCD)! For 60 and 300, both are divisible by 60, giving you $ \frac{1}{5} $. You can also divide by smaller factors like 3 first.

Q: Can I just use long division instead?

Yes, absolutely! Long division of 60 ÷ 300 will give you 0.2 directly. Both methods work, but simplifying first often makes the division easier to do in your head.

Q: Why does 0.20 equal 0.2?

Trailing zeros after the decimal point don't change the value! Just like 5.00 = 5, we have 0.20 = 0.2. It's the same number, just written differently.

Fraction to Decimal with Simplification

Which number is equal to $\frac{60}{300}$ ?

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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 divide both numerator and denominator

00:14 When the denominator equals 100, the numerator is the decimal number

00:22 When dividing by 100, the decimal point moves two places to the left

00:31 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 $\frac{60}{300}$ ?

Step-by-step solution

Let's divide both the numerator and the denominator by a number that will help us make the denominator 100:

$\frac{60:3}{300:3}=\frac{20}{100}$

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

$20.0$

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

$.20$

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

$0.20=0.2$

Final Answer

0.2

Key Points to Remember

Essential concepts to master this topic

Simplification Rule: Divide numerator and denominator by their GCD first
Division Method: Convert $\frac{60}{300} = \frac{20}{100}$ by dividing by 3
Decimal Check: Verify 60 ÷ 300 = 0.2 using calculator ✓

Common Mistakes

Avoid these frequent errors

Incorrectly placing the decimal point
Don't just divide 60 by 300 without understanding place value = 0.02 instead of 0.2! This happens when you miscount decimal places or forget basic division rules. Always simplify the fraction first, then convert systematically by understanding that dividing by 100 moves the decimal point two places left.

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 math easier! Converting $\frac{20}{100}$ to decimal is much simpler than $\frac{60}{300}$ because you can see that 100 means two decimal places.

How do I know where to place the decimal point?

Count the zeros in the denominator! When you have 100 in the denominator, the decimal point moves two places to the left. So 20 becomes 0.20 or 0.2.

What if I can't find a common factor to simplify?

Look for the greatest common divisor (GCD)! For 60 and 300, both are divisible by 60, giving you $\frac{1}{5}$ . You can also divide by smaller factors like 3 first.

Can I just use long division instead?

Yes, absolutely! Long division of 60 ÷ 300 will give you 0.2 directly. Both methods work, but simplifying first often makes the division easier to do in your head.

Why does 0.20 equal 0.2?

Trailing zeros after the decimal point don't change the value! Just like 5.00 = 5, we have 0.20 = 0.2. It's the same number, just written differently.

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