27/4 added to 119/3 in Fraction Form

The result of 27/4 added to 119/3 is: 46 5/12

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 274 and 1193.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 4 and 3 is 12.

Step 3: Convert Fractions to Equivalent Fractions

Convert 274 to 8112
Convert 1193 to 47612

Step 4: Add the Numerators

Add the numerators: 81 + 476 = 557

Step 5: Convert to Mixed Number

The fraction 55712 can be written as the mixed number 46512.

Final Answer

The result of 27/4 added to 119/3 is:

274+1193=46512

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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