103/82 added to 72/4 in Fraction Form

The result of 103/82 added to 72/4 is: 19 21/82

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 10382 and 724.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 82 and 4 is 164.

Step 3: Convert Fractions to Equivalent Fractions

Convert 10382 to 206164
Convert 724 to 2952164

Step 4: Add the Numerators

Add the numerators: 206 + 2952 = 3158

Step 5: Simplify the Fraction

We can simplify 3158164 to its lowest form.
The greatest common divisor (GCD) of 3158 and 164 is 2.
Dividing both numerator and denominator by the GCD, we get 157982.

Step 6: Convert to Mixed Number

The fraction 157982 can be written as the mixed number 192182.

Final Answer

The result of 103/82 added to 72/4 is:

10382+724=192182

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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