15/69 added to 39/4 in Fraction Form

The result of 15/69 added to 39/4 is: 9 89/92

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1569 and 394.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 69 and 4 is 276.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1569 to 60276
Convert 394 to 2691276

Step 4: Add the Numerators

Add the numerators: 60 + 2691 = 2751

Step 5: Simplify the Fraction

We can simplify 2751276 to its lowest form.
The greatest common divisor (GCD) of 2751 and 276 is 3.
Dividing both numerator and denominator by the GCD, we get 91792.

Step 6: Convert to Mixed Number

The fraction 91792 can be written as the mixed number 98992.

Final Answer

The result of 15/69 added to 39/4 is:

1569+394=98992

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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