26/72 added to 12/4 in Fraction Form

The result of 26/72 added to 12/4 is: 3 13/36

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2672 and 124.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 72 and 4 is 72.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2672 to 2672
Convert 124 to 21672

Step 4: Add the Numerators

Add the numerators: 26 + 216 = 242

Step 5: Simplify the Fraction

We can simplify 24272 to its lowest form.
The greatest common divisor (GCD) of 242 and 72 is 2.
Dividing both numerator and denominator by the GCD, we get 12136.

Step 6: Convert to Mixed Number

The fraction 12136 can be written as the mixed number 31336.

Final Answer

The result of 26/72 added to 12/4 is:

2672+124=31336

Understanding Fraction Addition

How to Add Fractions

To add fractions, you need to ensure they have a common denominator. Then add the numerators:

ab+cd=ad+bcbd (when denominators are different)

Or simply ab+cb=a+cb (when denominators are the same)

Why Simplify Fractions?

Simplifying fractions makes them easier to work with and understand. A fraction is in its simplest form when the numerator and denominator have no common factors other than 1.

To simplify a fraction, divide both the numerator and denominator by their greatest common divisor (GCD).

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