182/28 added to 102/4 in Fraction Form

The result of 182/28 added to 102/4 is: 32

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 18228 and 1024.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 28 and 4 is 28.

Step 3: Convert Fractions to Equivalent Fractions

Convert 18228 to 18228
Convert 1024 to 71428

Step 4: Add the Numerators

Add the numerators: 182 + 714 = 896

Step 5: Simplify the Fraction

We can simplify 89628 to its lowest form.
The greatest common divisor (GCD) of 896 and 28 is 28.
Dividing both numerator and denominator by the GCD, we get 321.

Final Answer

The result of 182/28 added to 102/4 is:

18228+1024=32

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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