28/74 added to 154/3 in Fraction Form

The result of 28/74 added to 154/3 is: 51 79/111

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2874 and 1543.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 74 and 3 is 222.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2874 to 84222
Convert 1543 to 11396222

Step 4: Add the Numerators

Add the numerators: 84 + 11396 = 11480

Step 5: Simplify the Fraction

We can simplify 11480222 to its lowest form.
The greatest common divisor (GCD) of 11480 and 222 is 2.
Dividing both numerator and denominator by the GCD, we get 5740111.

Step 6: Convert to Mixed Number

The fraction 5740111 can be written as the mixed number 5179111.

Final Answer

The result of 28/74 added to 154/3 is:

2874+1543=5179111

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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