135/40 added to 118/2 in Fraction Form

The result of 135/40 added to 118/2 is: 62 3/8

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 13540 and 1182.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 40 and 2 is 40.

Step 3: Convert Fractions to Equivalent Fractions

Convert 13540 to 13540
Convert 1182 to 236040

Step 4: Add the Numerators

Add the numerators: 135 + 2360 = 2495

Step 5: Simplify the Fraction

We can simplify 249540 to its lowest form.
The greatest common divisor (GCD) of 2495 and 40 is 5.
Dividing both numerator and denominator by the GCD, we get 4998.

Step 6: Convert to Mixed Number

The fraction 4998 can be written as the mixed number 6238.

Final Answer

The result of 135/40 added to 118/2 is:

13540+1182=6238

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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