101/82 added to 135/3 in Fraction Form

The result of 101/82 added to 135/3 is: 46 19/82

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 10182 and 1353.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 82 and 3 is 246.

Step 3: Convert Fractions to Equivalent Fractions

Convert 10182 to 303246
Convert 1353 to 11070246

Step 4: Add the Numerators

Add the numerators: 303 + 11070 = 11373

Step 5: Simplify the Fraction

We can simplify 11373246 to its lowest form.
The greatest common divisor (GCD) of 11373 and 246 is 3.
Dividing both numerator and denominator by the GCD, we get 379182.

Step 6: Convert to Mixed Number

The fraction 379182 can be written as the mixed number 461982.

Final Answer

The result of 101/82 added to 135/3 is:

10182+1353=461982

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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