13/82 added to 75/4 in Fraction Form

The result of 13/82 added to 75/4 is: 18 149/164

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1382 and 754.

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 1382 to 26164
Convert 754 to 3075164

Step 4: Add the Numerators

Add the numerators: 26 + 3075 = 3101

Step 5: Convert to Mixed Number

The fraction 3101164 can be written as the mixed number 18149164.

Final Answer

The result of 13/82 added to 75/4 is:

1382+754=18149164

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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