69/51 added to 15/4 in Fraction Form

The result of 69/51 added to 15/4 is: 5 7/68

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 6951 and 154.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 51 and 4 is 204.

Step 3: Convert Fractions to Equivalent Fractions

Convert 6951 to 276204
Convert 154 to 765204

Step 4: Add the Numerators

Add the numerators: 276 + 765 = 1041

Step 5: Simplify the Fraction

We can simplify 1041204 to its lowest form.
The greatest common divisor (GCD) of 1041 and 204 is 3.
Dividing both numerator and denominator by the GCD, we get 34768.

Step 6: Convert to Mixed Number

The fraction 34768 can be written as the mixed number 5768.

Final Answer

The result of 69/51 added to 15/4 is:

6951+154=5768

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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