Convert Mixed Number 1 4/16: Step-by-Step Solution

Q: Do I always need to simplify the fraction first?

While not strictly required, simplifying first makes the problem much easier! $ \frac{1}{4} $ is simpler to convert than $ \frac{4}{16} $, and you're less likely to make calculation errors.

Q: How do I find the GCD of 4 and 16?

List the factors of each number: 4 has factors 1, 2, 4 and 16 has factors 1, 2, 4, 8, 16. The greatest common factor they share is 4!

Q: What if I can't remember that 1/4 equals 0.25?

Just divide! $ 1 ÷ 4 = 0.25 $. You can also think of it as quarters - one quarter of a dollar is 25 cents, so $ \frac{1}{4} = 0.25 $.

Q: Why do I add the decimal to the whole number?

A mixed number like $ 1\frac{4}{16} $ means 1 plus $ \frac{4}{16} $. So you convert the fraction part to decimal, then add it to the whole number part.

Q: Can I convert mixed numbers to improper fractions instead?

Absolutely! $ 1\frac{4}{16} = \frac{20}{16} = \frac{5}{4} = 1.25 $. Both methods work, but converting to decimal is often more practical for real-world applications.

Mixed Number Conversion with Fraction Simplification

$1\frac{4}{16}=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:03 Let's change this into a decimal fraction.

00:07 First, split the number into its whole part and fraction part.

00:15 Next, simplify the fraction. Divide both the top and bottom numbers.

00:23 Aim to get a denominator that's a power of 10.

00:26 Multiply both parts by the same number to reach that goal.

00:35 Now, turn it into a decimal fraction.

00:40 Add them up!

00:44 And there you have it! That's how we solve this problem.

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$1\frac{4}{16}=$

Step-by-step solution

To solve this problem, we will convert the mixed number $1\frac{4}{16}$ into a decimal.

Step 1: Simplify the Fraction
The fraction $\frac{4}{16}$ can be simplified by finding the greatest common divisor (GCD) of 4 and 16, which is 4. Thus, we divide both the numerator and the denominator by 4: $\frac{4}{16} = \frac{4 \div 4}{16 \div 4} = \frac{1}{4}$
Step 2: Convert the Simplified Fraction to a Decimal
Now, we convert the fraction $\frac{1}{4}$ to a decimal. We know: $\frac{1}{4} = 0.25$
Step 3: Add the Decimal to the Whole Number
The original problem includes a whole number part 1. Thus, we add: $1 + 0.25 = 1.25$

Therefore, the mixed number $1\frac{4}{16}$ converts to the decimal $\mathbf{1.25}$ .

Final Answer

$1.25$

Key Points to Remember

Essential concepts to master this topic

Simplify First: Reduce fractions using GCD before converting to decimal
Technique: $\frac{4}{16} = \frac{1}{4} = 0.25$ then add to whole number
Check: Verify $1 + 0.25 = 1.25$ matches original mixed number ✓

Common Mistakes

Avoid these frequent errors

Converting fraction to decimal without simplifying first
Don't calculate 4 ÷ 16 = 0.25 directly without simplifying! While you get the right answer, you miss the easier path and might make division errors with larger numbers. Always simplify fractions first to make calculations simpler and reduce mistakes.

Practice Quiz

Test your knowledge with interactive questions

Convert into fraction form:

$$ 0.38= $$

FAQ

Everything you need to know about this question

Do I always need to simplify the fraction first?

While not strictly required, simplifying first makes the problem much easier! $\frac{1}{4}$ is simpler to convert than $\frac{4}{16}$ , and you're less likely to make calculation errors.

How do I find the GCD of 4 and 16?

List the factors of each number: 4 has factors 1, 2, 4 and 16 has factors 1, 2, 4, 8, 16. The greatest common factor they share is 4!

What if I can't remember that 1/4 equals 0.25?

Just divide! $1 ÷ 4 = 0.25$ . You can also think of it as quarters - one quarter of a dollar is 25 cents, so $\frac{1}{4} = 0.25$ .

Why do I add the decimal to the whole number?

A mixed number like $1\frac{4}{16}$ means 1 plus $\frac{4}{16}$ . So you convert the fraction part to decimal, then add it to the whole number part.

Can I convert mixed numbers to improper fractions instead?

Absolutely! $1\frac{4}{16} = \frac{20}{16} = \frac{5}{4} = 1.25$ . Both methods work, but converting to decimal is often more practical for real-world applications.

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