21/91 added to 127/6 in Fraction Form

The result of 21/91 added to 127/6 is: 21 31/78

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2191 and 1276.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 91 and 6 is 546.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2191 to 126546
Convert 1276 to 11557546

Step 4: Add the Numerators

Add the numerators: 126 + 11557 = 11683

Step 5: Simplify the Fraction

We can simplify 11683546 to its lowest form.
The greatest common divisor (GCD) of 11683 and 546 is 7.
Dividing both numerator and denominator by the GCD, we get 166978.

Step 6: Convert to Mixed Number

The fraction 166978 can be written as the mixed number 213178.

Final Answer

The result of 21/91 added to 127/6 is:

2191+1276=213178

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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