Convert Decimal 1.543 to Simplified Fraction Form

Convert 1.543 into a fraction.

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:03 Let's change the decimal into a mixed fraction.
00:07 First, split the number into a whole number and a remainder.
00:11 Next, let's convert that remainder into a fraction.
00:15 Remember, the denominator is based on how many digits follow the decimal.
00:21 Here, we have three digits, so the denominator is one thousand.
00:28 Place those digits in the numerator as a single number.
00:33 Now, combine them together into a mixed fraction.
00:38 And there you have it! That's how you solve the problem.

Step-by-step written solution

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1

Understand the problem

Convert 1.543 into a fraction.

2

Step-by-step solution

To convert the decimal 1.543 into a fraction, we'll proceed with the following steps:

  • Step 1: Identify the fractional part of the number. Here, the number is 1.543, where 1 is the whole number and 0.543 is the decimal part.
  • Step 2: Convert the decimal part to a fraction. The decimal 0.543 can be expressed as 5431000\frac{543}{1000} because it is equivalent to 543 thousandths.
  • Step 3: Combine the whole number with the fractional part to express the entire decimal as a mixed number. Thus, 1.543 becomes 154310001\frac{543}{1000}.

Therefore, the decimal 1.543 is equivalent to 154310001\frac{543}{1000} as a fraction.

3

Final Answer

15431000 1\frac{543}{1000}

Practice Quiz

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Write the following fraction as a decimal:

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

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