72/28 added to 7/2 in Fraction Form

The result of 72/28 added to 7/2 is: 6 1/14

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 7228 and 72.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 28 and 2 is 28.

Step 3: Convert Fractions to Equivalent Fractions

Convert 7228 to 7228
Convert 72 to 9828

Step 4: Add the Numerators

Add the numerators: 72 + 98 = 170

Step 5: Simplify the Fraction

We can simplify 17028 to its lowest form.
The greatest common divisor (GCD) of 170 and 28 is 2.
Dividing both numerator and denominator by the GCD, we get 8514.

Step 6: Convert to Mixed Number

The fraction 8514 can be written as the mixed number 6114.

Final Answer

The result of 72/28 added to 7/2 is:

7228+72=6114

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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