28/74 added to 185/4 in Fraction Form

The result of 28/74 added to 185/4 is: 46 93/148

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2874 and 1854.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 74 and 4 is 148.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2874 to 56148
Convert 1854 to 6845148

Step 4: Add the Numerators

Add the numerators: 56 + 6845 = 6901

Step 5: Convert to Mixed Number

The fraction 6901148 can be written as the mixed number 4693148.

Final Answer

The result of 28/74 added to 185/4 is:

2874+1854=4693148

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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