Convert Mixed Number 3 19/50 to Decimal

Mixed Number Conversion with Decimal Equivalents

31950= 3\frac{19}{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
00:06 Break down the number into whole number and fraction
00:10 We want the denominator to be some multiple of 10 and 10
00:13 Make sure to multiply both numerator and denominator
00:19 Convert to decimal fraction
00:26 Add
00:38 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

31950= 3\frac{19}{50}=

2

Step-by-step solution

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

  • Step 1: Convert the fraction to have 100 as the denominator.
  • Step 2: Convert the new fraction to a decimal.
  • Step 3: Combine the decimal with the whole number part.

Now, let's work through each step:

Step 1: We start with the fraction 1950\frac{19}{50}. To find an equivalent fraction with a denominator of 100, we multiply both the numerator and the denominator by the same number. Since 50×2=10050 \times 2 = 100, we also multiply 19 by 2 to keep the fraction equivalent:
19×250×2=38100\frac{19 \times 2}{50 \times 2} = \frac{38}{100}.

Step 2: The fraction 38100\frac{38}{100} can be directly written as a decimal 0.38.

Step 3: Add this decimal to the whole number part (3) to get the final decimal number:
3+0.38=3.383 + 0.38 = 3.38.

Therefore, the solution to the problem is 3.383.38.

3

Final Answer

3.38 3.38

Key Points to Remember

Essential concepts to master this topic
  • Method: Convert fraction part to decimal, then add to whole number
  • Technique: Multiply 1950 \frac{19}{50} by 22 \frac{2}{2} to get 38100=0.38 \frac{38}{100} = 0.38
  • Check: Verify that 3+0.38=3.38 3 + 0.38 = 3.38 makes sense ✓

Common Mistakes

Avoid these frequent errors
  • Adding the numerator directly to the whole number
    Don't add 3 + 19 = 22 and ignore the denominator! This completely ignores the fractional value and gives a wildly incorrect result. Always convert the fraction to decimal first, then add to the whole number.

Practice Quiz

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FAQ

Everything you need to know about this question

Why do I multiply both numerator and denominator by 2?

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We multiply by 2 because 50 × 2 = 100, and fractions with denominator 100 are easy to convert to decimals! This creates an equivalent fraction: 1950=38100 \frac{19}{50} = \frac{38}{100} .

Can I just divide 19 by 50 instead?

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Yes! Division gives the same result: 19 ÷ 50 = 0.38. Both methods work - choose whichever feels more comfortable to you.

What if the denominator doesn't multiply evenly to 100?

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Then use long division or a calculator to divide the numerator by the denominator. For example, 13=1÷3=0.333... \frac{1}{3} = 1 ÷ 3 = 0.333...

How do I know when to stop the decimal?

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If the division gives you a remainder of zero, you can stop! Like 38100=0.38 \frac{38}{100} = 0.38 exactly. If it keeps going, round to the required number of decimal places.

Do I always need to convert to a denominator of 100?

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No! You can convert to any power of 10 (10, 100, 1000) or just divide directly. Converting to 100 just makes it easier to see the decimal because 38100=0.38 \frac{38}{100} = 0.38 .

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