30/26 added to 69/3 in Fraction Form

The result of 30/26 added to 69/3 is: 24 2/13

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 3026 and 693.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 26 and 3 is 78.

Step 3: Convert Fractions to Equivalent Fractions

Convert 3026 to 9078
Convert 693 to 179478

Step 4: Add the Numerators

Add the numerators: 90 + 1794 = 1884

Step 5: Simplify the Fraction

We can simplify 188478 to its lowest form.
The greatest common divisor (GCD) of 1884 and 78 is 6.
Dividing both numerator and denominator by the GCD, we get 31413.

Step 6: Convert to Mixed Number

The fraction 31413 can be written as the mixed number 24213.

Final Answer

The result of 30/26 added to 69/3 is:

3026+693=24213

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).

Fraction Calculator

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