18/28 added to 23/2 in Fraction Form

The result of 18/28 added to 23/2 is: 12 1/7

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1828 and 232.

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 1828 to 1828
Convert 232 to 32228

Step 4: Add the Numerators

Add the numerators: 18 + 322 = 340

Step 5: Simplify the Fraction

We can simplify 34028 to its lowest form.
The greatest common divisor (GCD) of 340 and 28 is 4.
Dividing both numerator and denominator by the GCD, we get 857.

Step 6: Convert to Mixed Number

The fraction 857 can be written as the mixed number 1217.

Final Answer

The result of 18/28 added to 23/2 is:

1828+232=1217

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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