127/87 added to 77/6 in Fraction Form

The result of 127/87 added to 77/6 is: 14 17/58

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 12787 and 776.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 87 and 6 is 174.

Step 3: Convert Fractions to Equivalent Fractions

Convert 12787 to 254174
Convert 776 to 2233174

Step 4: Add the Numerators

Add the numerators: 254 + 2233 = 2487

Step 5: Simplify the Fraction

We can simplify 2487174 to its lowest form.
The greatest common divisor (GCD) of 2487 and 174 is 3.
Dividing both numerator and denominator by the GCD, we get 82958.

Step 6: Convert to Mixed Number

The fraction 82958 can be written as the mixed number 141758.

Final Answer

The result of 127/87 added to 77/6 is:

12787+776=141758

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

Calculate operations between any two fractions: