82/103 added to 148/4 in Fraction Form

The result of 82/103 added to 148/4 is: 37 82/103

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 82103 and 1484.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 103 and 4 is 412.

Step 3: Convert Fractions to Equivalent Fractions

Convert 82103 to 328412
Convert 1484 to 15244412

Step 4: Add the Numerators

Add the numerators: 328 + 15244 = 15572

Step 5: Simplify the Fraction

We can simplify 15572412 to its lowest form.
The greatest common divisor (GCD) of 15572 and 412 is 4.
Dividing both numerator and denominator by the GCD, we get 3893103.

Step 6: Convert to Mixed Number

The fraction 3893103 can be written as the mixed number 3782103.

Final Answer

The result of 82/103 added to 148/4 is:

82103+1484=3782103

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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