159/69 added to 102/4 in Fraction Form

The result of 159/69 added to 102/4 is: 27 37/46

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 15969 and 1024.

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 15969 to 636276
Convert 1024 to 7038276

Step 4: Add the Numerators

Add the numerators: 636 + 7038 = 7674

Step 5: Simplify the Fraction

We can simplify 7674276 to its lowest form.
The greatest common divisor (GCD) of 7674 and 276 is 6.
Dividing both numerator and denominator by the GCD, we get 127946.

Step 6: Convert to Mixed Number

The fraction 127946 can be written as the mixed number 273746.

Final Answer

The result of 159/69 added to 102/4 is:

15969+1024=273746

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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