127/87 added to 118/2 in Fraction Form

The result of 127/87 added to 118/2 is: 60 40/87

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 12787 and 1182.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 87 and 2 is 174.

Step 3: Convert Fractions to Equivalent Fractions

Convert 12787 to 254174
Convert 1182 to 10266174

Step 4: Add the Numerators

Add the numerators: 254 + 10266 = 10520

Step 5: Simplify the Fraction

We can simplify 10520174 to its lowest form.
The greatest common divisor (GCD) of 10520 and 174 is 2.
Dividing both numerator and denominator by the GCD, we get 526087.

Step 6: Convert to Mixed Number

The fraction 526087 can be written as the mixed number 604087.

Final Answer

The result of 127/87 added to 118/2 is:

12787+1182=604087

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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