129/135 added to 83/4 in Fraction Form

The result of 129/135 added to 83/4 is: 21 127/180

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 129135 and 834.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 135 and 4 is 540.

Step 3: Convert Fractions to Equivalent Fractions

Convert 129135 to 516540
Convert 834 to 11205540

Step 4: Add the Numerators

Add the numerators: 516 + 11205 = 11721

Step 5: Simplify the Fraction

We can simplify 11721540 to its lowest form.
The greatest common divisor (GCD) of 11721 and 540 is 3.
Dividing both numerator and denominator by the GCD, we get 3907180.

Step 6: Convert to Mixed Number

The fraction 3907180 can be written as the mixed number 21127180.

Final Answer

The result of 129/135 added to 83/4 is:

129135+834=21127180

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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