Solve Mixed Number Equation: 2 15/150 Simplified

215150= 2\frac{15}{150}=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:05 Let's start by converting this number into a decimal fraction.
00:10 First, break down the number into a whole number and a fraction.
00:14 We want the denominator to be a multiple of ten.
00:18 Now, reduce the fraction. Be sure to divide both the numerator and the denominator by the same number.
00:27 Next, convert the fraction into a decimal fraction.
00:37 Go ahead and add them together.
00:45 And that's the solution to our question!

Step-by-step written solution

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1

Understand the problem

215150= 2\frac{15}{150}=

2

Step-by-step solution

To solve this problem, follow these steps:

  • Step 1: Simplify the fraction 15150\frac{15}{150}.
  • Step 2: Convert the simplified fraction to a decimal.
  • Step 3: Add the decimal to the whole number 22.

Now, let's work through each step in detail:

Step 1: Simplify the fraction 15150\frac{15}{150}.
To simplify the fraction, divide both the numerator (1515) and the denominator (150150) by their greatest common divisor, which is 1515. Thus, we have:

15150=15÷15150÷15=110 \frac{15}{150} = \frac{15 \div 15}{150 \div 15} = \frac{1}{10}

Step 2: Convert the simplified fraction 110\frac{1}{10} to a decimal.
The fraction 110\frac{1}{10} is directly equivalent to the decimal 0.10.1.

Step 3: Combine this decimal with the whole number 22.
Add the decimal 0.10.1 to the whole number 22:

2+0.1=2.1 2 + 0.1 = 2.1

Therefore, the solution to the problem is 2.12.1.

3

Final Answer

2.1 2.1

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Write the following fraction as a decimal:

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

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