Understanding Adding Subrating Fractions

Adding fractions might seem tricky, especially when they are subrating fractions. But don't worry! I'll break it down for you step by step.

Step 1: What Are Subrating Fractions?

Subrating fractions are simply fractions that you need to combine, often from a context of splitting something into parts. For example, 1/2 + 1/4 are both fractions. The goal is to find a common way to add them together.

Step 2: Finding a Common Denominator

The first step in adding any fractions is to find a common denominator. The denominator is the bottom part of a fraction that tells you how many equal parts something is divided into. In our example, the fractions are:

  • 1/2 (denominator is 2)
  • 1/4 (denominator is 4)

The least common denominator (LCD) of 2 and 4 is 4. This is the first key step!

Step 3: Converting Fractions

Now that we know our common denominator is 4, we will convert the fractions:

  • To convert 1/2 to a fraction with a denominator of 4, we multiply both the numerator (top number) and the denominator (bottom number) by 2:
  • 1/2 = (1 × 2)/(2 × 2) = 2/4

So, 1/2 becomes 2/4.

For 1/4, it is already in the form we need:

  • 1/4 = 1/4

Step 4: Adding the Fractions

Now we can add the two fractions:

  • 2/4 + 1/4 = (2 + 1)/4 = 3/4

Final Result

So when you add 1/2 + 1/4, the answer is 3/4.

Practice!

If you want to practice, try adding these fractions:

  • 2/3 + 1/6
  • 3/5 + 2/5

Remember, just find the common denominator, convert, and then add!

Happy learning!

Written September 27, 2024