Solve Mixed Number Equation: 2 15/150 Simplified

Question

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

Video Solution

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.

Answer

2.1 2.1