102/135 added to 83/3 in Fraction Form

The result of 102/135 added to 83/3 is: 28 19/45

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 102135 and 833.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 135 and 3 is 135.

Step 3: Convert Fractions to Equivalent Fractions

Convert 102135 to 102135
Convert 833 to 3735135

Step 4: Add the Numerators

Add the numerators: 102 + 3735 = 3837

Step 5: Simplify the Fraction

We can simplify 3837135 to its lowest form.
The greatest common divisor (GCD) of 3837 and 135 is 3.
Dividing both numerator and denominator by the GCD, we get 127945.

Step 6: Convert to Mixed Number

The fraction 127945 can be written as the mixed number 281945.

Final Answer

The result of 102/135 added to 83/3 is:

102135+833=281945

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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