135/146 added to 34/4 in Fraction Form

The result of 135/146 added to 34/4 is: 9 31/73

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 135146 and 344.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 146 and 4 is 292.

Step 3: Convert Fractions to Equivalent Fractions

Convert 135146 to 270292
Convert 344 to 2482292

Step 4: Add the Numerators

Add the numerators: 270 + 2482 = 2752

Step 5: Simplify the Fraction

We can simplify 2752292 to its lowest form.
The greatest common divisor (GCD) of 2752 and 292 is 4.
Dividing both numerator and denominator by the GCD, we get 68873.

Step 6: Convert to Mixed Number

The fraction 68873 can be written as the mixed number 93173.

Final Answer

The result of 135/146 added to 34/4 is:

135146+344=93173

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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