127/49 added to 87/6 in Fraction Form

The result of 127/49 added to 87/6 is: 17 9/98

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 12749 and 876.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 49 and 6 is 294.

Step 3: Convert Fractions to Equivalent Fractions

Convert 12749 to 762294
Convert 876 to 4263294

Step 4: Add the Numerators

Add the numerators: 762 + 4263 = 5025

Step 5: Simplify the Fraction

We can simplify 5025294 to its lowest form.
The greatest common divisor (GCD) of 5025 and 294 is 3.
Dividing both numerator and denominator by the GCD, we get 167598.

Step 6: Convert to Mixed Number

The fraction 167598 can be written as the mixed number 17998.

Final Answer

The result of 127/49 added to 87/6 is:

12749+876=17998

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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