Convert Mixed Number: Finding Decimal Form of 9 3/10

Mixed Number Conversion with Tenths Fractions

9310= 9\frac{3}{10}=

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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 into whole number and fraction
00:13 Convert from fraction to decimal fraction
00:16 Add
00:19 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

9310= 9\frac{3}{10}=

2

Step-by-step solution

To solve this problem, we'll convert the mixed number 9310 9\frac{3}{10} into a decimal:

  • The mixed number has a whole part 99 and a fractional part 310\frac{3}{10}.
  • To convert the fractional part 310\frac{3}{10} to a decimal, recognize it as 0.30.3, because when a fraction's denominator is 10, the numerator directly represents the portion to the right of the decimal point.
  • Now add the decimal form of the fraction to the whole number:
    9+0.3=9.39 + 0.3 = 9.3.

Therefore, the solution to the problem is 9.3\mathbf{9.3}.

3

Final Answer

9.3 9.3

Key Points to Remember

Essential concepts to master this topic
  • Definition: Mixed numbers combine whole numbers with fractions
  • Technique: Convert 310 \frac{3}{10} to 0.3 since denominator is 10
  • Check: Add whole and decimal parts: 9 + 0.3 = 9.3 ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to add the whole number part
    Don't just convert the fraction 310 \frac{3}{10} to 0.3 and stop there = incomplete answer! This ignores the whole number 9 entirely. Always add the whole number part to the decimal form of the fraction.

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 does 310 \frac{3}{10} equal 0.3?

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When the denominator is 10, the numerator tells you exactly what goes in the tenths place! Think of it as 3 tenths, which is 0.3 on the decimal.

What if the denominator isn't 10?

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You'll need to divide the numerator by the denominator. For example, 14=1÷4=0.25 \frac{1}{4} = 1 ÷ 4 = 0.25 . Then add this to your whole number.

Can I convert this back to a mixed number?

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Absolutely! 9.3 becomes 9310 9\frac{3}{10} . The whole number stays the same, and the decimal part becomes the fraction with 10 as denominator.

Do I need to simplify the fraction first?

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Not necessary for this problem since 310 \frac{3}{10} is already in lowest terms. But if you had 620 \frac{6}{20} , simplify to 310 \frac{3}{10} first!

What's the fastest way to check my answer?

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Convert your decimal answer back to a mixed number! If 9.3 becomes 9310 9\frac{3}{10} , which matches the original, you're correct!

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