28/21 added to 241/4 in Fraction Form

The result of 28/21 added to 241/4 is: 61 7/12

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2821 and 2414.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 21 and 4 is 84.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2821 to 11284
Convert 2414 to 506184

Step 4: Add the Numerators

Add the numerators: 112 + 5061 = 5173

Step 5: Simplify the Fraction

We can simplify 517384 to its lowest form.
The greatest common divisor (GCD) of 5173 and 84 is 7.
Dividing both numerator and denominator by the GCD, we get 73912.

Step 6: Convert to Mixed Number

The fraction 73912 can be written as the mixed number 61712.

Final Answer

The result of 28/21 added to 241/4 is:

2821+2414=61712

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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