Convert Mixed Number: Simplifying 6 3/50 to Decimal Form

Mixed Number Conversion with Decimal Equivalents

6350= 6\frac{3}{50}=

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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
00:11 We want the denominator to be some multiple of 10 and 10
00:14 Make sure to multiply both numerator and denominator
00:25 Convert to decimal fraction
00:39 Add
00:52 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

6350= 6\frac{3}{50}=

2

Step-by-step solution

To solve this problem, we'll follow these steps:

  • Step 1: Convert the fraction part 350 \frac{3}{50} to an equivalent fraction with a denominator of 100.
  • Step 2: Express this fraction as a decimal.
  • Step 3: Add this decimal to the whole number 6 to get the final result.

Let's work through each step:

Step 1: Convert 350 \frac{3}{50} to an equivalent fraction with a denominator of 100.

Since 350 \frac{3}{50} , we multiply both the numerator and the denominator by 2 to make the denominator 100:

350×22=6100 \frac{3}{50} \times \frac{2}{2} = \frac{6}{100} .

Step 2: Express that fraction as a decimal.

The fraction 6100 \frac{6}{100} can be directly written as 0.06 0.06 because a denominator of 100 corresponds to "hundredths."

Step 3: Combine the decimal with the whole number.

The original mixed number 6350 6\frac{3}{50} now becomes:

6+0.06=6.06 6 + 0.06 = 6.06 .

Therefore, the solution to the problem is 6.06 6.06 .

3

Final Answer

6.06 6.06

Key Points to Remember

Essential concepts to master this topic
  • Method: Convert fractional part to decimal, then add whole number
  • Technique: Transform 350 \frac{3}{50} to 6100=0.06 \frac{6}{100} = 0.06
  • Check: Verify 6.06 = 6 + 0.06 where 0.06 × 50 = 3 ✓

Common Mistakes

Avoid these frequent errors
  • Converting fraction incorrectly to decimal
    Don't just divide 3 ÷ 50 = 0.06 without understanding place value! Students often write 0.6 or 0.006 instead. Always convert to a denominator of 100 first: 350=6100=0.06 \frac{3}{50} = \frac{6}{100} = 0.06 to see the hundredths clearly.

Practice Quiz

Test your knowledge with interactive questions

Convert into fraction form:

\( 0.38= \)

FAQ

Everything you need to know about this question

Why do I need to convert to a denominator of 100?

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Converting to 100 makes decimals easy to see! When the denominator is 100, the numerator directly shows hundredths. So 6100 \frac{6}{100} immediately becomes 0.06.

Can I just divide 3 by 50 on a calculator?

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Yes! 3 ÷ 50 = 0.06 gives the same answer. But understanding the fraction conversion helps you work without a calculator and see why the decimal looks the way it does.

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

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You can still divide! For example, 13 \frac{1}{3} gives 0.333... Just be careful with rounding if needed, or leave it as a fraction if the decimal repeats.

How do I know if 6.06 is right?

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Check by converting back: 6.06 = 6 + 0.06 = 6 + 6100 \frac{6}{100} = 6 + 350 \frac{3}{50} . This matches your original mixed number!

Why is there a duplicate answer choice of 6.06?

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Sometimes tests include duplicate correct answers to check if you're paying attention. Both 6.06 choices would be marked correct, but only one is typically marked as the 'official' answer.

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