Convert 13/3 To Decimal In 3 Easy Steps

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Converting fractions to decimals is a fundamental math operation that can seem intimidating at first, but it's actually quite straightforward. Here's how to convert 13/3 to a decimal in 3 easy steps:

Understanding the Concept

Converting a fraction to a decimal involves dividing the numerator (the top number) by the denominator (the bottom number). In this case, we want to convert the fraction 13/3 to a decimal.

Step 1: Divide the Numerator by the Denominator

To convert 13/3 to a decimal, we need to divide 13 by 3. This can be done using a calculator or by performing long division.

13 ÷ 3 = 4.33

Performing Long Division

• Divide 13 by 3: 3 goes into 13 four times, with a remainder of 1.
• Multiply 4 by 3: 4 x 3 = 12
• Subtract 12 from 13: 13 - 12 = 1
• Bring down the next digit (in this case, there is no next digit): 1
• Divide 1 by 3: 3 goes into 1 zero times, with a remainder of 1.
• Multiply 0 by 3: 0 x 3 = 0
• Subtract 0 from 1: 1 - 0 = 1
• Bring down the next digit (in this case, there is no next digit): 1
• Divide 1 by 3: 3 goes into 1 zero times, with a remainder of 1.

Since the remainder is 1, we can continue dividing until we get a repeating pattern. In this case, the pattern repeats after 2 digits:

13 ÷ 3 = 4.33

Step 2: Round the Decimal (Optional)

Depending on the context, you may need to round the decimal to a specific number of places. For example, if you need to round 4.33 to 2 decimal places, you would round up to 4.33.

Step 3: Verify the Answer

Finally, verify that your answer is accurate by checking it against a calculator or other reliable source.

And that's it! You've successfully converted 13/3 to a decimal in 3 easy steps.

Final Answer: 4.33

We hope this article has been helpful in explaining how to convert fractions to decimals. If you have any questions or need further clarification, please don't hesitate to ask in the comments below.