81/117 added to 127/4 in Fraction Form

The result of 81/117 added to 127/4 is: 32 23/52

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 81117 and 1274.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 117 and 4 is 468.

Step 3: Convert Fractions to Equivalent Fractions

Convert 81117 to 324468
Convert 1274 to 14859468

Step 4: Add the Numerators

Add the numerators: 324 + 14859 = 15183

Step 5: Simplify the Fraction

We can simplify 15183468 to its lowest form.
The greatest common divisor (GCD) of 15183 and 468 is 9.
Dividing both numerator and denominator by the GCD, we get 168752.

Step 6: Convert to Mixed Number

The fraction 168752 can be written as the mixed number 322352.

Final Answer

The result of 81/117 added to 127/4 is:

81117+1274=322352

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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