Complete the Decimal Equation: 2.4 = ___

2.4= 2.4=

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Step-by-step video solution

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00:00 Convert to fraction
00:03 Break down the number into whole number and remainder
00:08 Convert the remainder to fraction
00:17 Convert whole number to whole fraction
00:27 Add with common denominator
00:35 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

2.4= 2.4=

2

Step-by-step solution

To convert the decimal 2.42.4 to a mixed number, we need to follow these steps:

  • Step 1: Identify the whole number part and the decimal part. Here, the whole number is 22 and the decimal part is 0.40.4.
  • Step 2: Convert the decimal part 0.40.4 to a fraction. To do this, recognize that 0.40.4 can be written as 410\frac{4}{10} since there is one digit after the decimal point, which implies the denominator is 1010.
  • Step 3: Simplify the fraction 410\frac{4}{10}. Divide the numerator and the denominator by their greatest common divisor, which is 22. Thus, 410=25\frac{4}{10} = \frac{2}{5}.
  • Step 4: Combine the whole number and the simplified fraction to form the mixed number. The whole number 22 and the fraction 25\frac{2}{5} together give 2252\frac{2}{5}.

Therefore, the decimal 2.42.4 is equivalent to the mixed number 2252\frac{2}{5}.

3

Final Answer

225 2\frac{2}{5}

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Write the following fraction as a decimal:

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

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