115/10 added to 127/6 in Fraction Form

The result of 115/10 added to 127/6 is: 32 2/3

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 11510 and 1276.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 10 and 6 is 30.

Step 3: Convert Fractions to Equivalent Fractions

Convert 11510 to 34530
Convert 1276 to 63530

Step 4: Add the Numerators

Add the numerators: 345 + 635 = 980

Step 5: Simplify the Fraction

We can simplify 98030 to its lowest form.
The greatest common divisor (GCD) of 980 and 30 is 10.
Dividing both numerator and denominator by the GCD, we get 983.

Step 6: Convert to Mixed Number

The fraction 983 can be written as the mixed number 3223.

Final Answer

The result of 115/10 added to 127/6 is:

11510+1276=3223

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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