Convert Mixed Number 3½ to Decimal: Step-by-Step Solution

312= 3\frac{1}{2}=

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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
00:08 Convert from whole number to proper fraction
00:20 Add with common denominator
00:27 Change the fraction so denominator is 10
00:30 Make sure to multiply both numerator and denominator
00:34 Convert from fraction to decimal fraction
00:42 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

312= 3\frac{1}{2}=

2

Step-by-step solution

To solve this problem, we’ll convert the mixed number 3123 \frac{1}{2} to a decimal:

Step 1: Convert the fraction 12\frac{1}{2} into a decimal.

  • A fraction with a denominator of 2 can be converted to a decimal by finding an equivalent value. 12\frac{1}{2} is equivalent to 0.5, as 1 divided by 2 is 0.5.

Step 2: Add the decimal equivalent of the fraction part to the whole number.

  • This means adding 0.5 to the whole number 3, resulting in 3+0.5=3.53 + 0.5 = 3.5.

Therefore, the solution to the problem is 3.53.5.

3

Final Answer

3.5 3.5

Practice Quiz

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Write the following fraction as a decimal:

\( \frac{5}{100}= \)

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