119/14 added to 127/3 in Fraction Form

The result of 119/14 added to 127/3 is: 50 5/6

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 11914 and 1273.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 14 and 3 is 42.

Step 3: Convert Fractions to Equivalent Fractions

Convert 11914 to 35742
Convert 1273 to 177842

Step 4: Add the Numerators

Add the numerators: 357 + 1778 = 2135

Step 5: Simplify the Fraction

We can simplify 213542 to its lowest form.
The greatest common divisor (GCD) of 2135 and 42 is 7.
Dividing both numerator and denominator by the GCD, we get 3056.

Step 6: Convert to Mixed Number

The fraction 3056 can be written as the mixed number 5056.

Final Answer

The result of 119/14 added to 127/3 is:

11914+1273=5056

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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