15/22 added to 110/4 in Fraction Form

The result of 15/22 added to 110/4 is: 28 2/11

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1522 and 1104.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 22 and 4 is 44.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1522 to 3044
Convert 1104 to 121044

Step 4: Add the Numerators

Add the numerators: 30 + 1210 = 1240

Step 5: Simplify the Fraction

We can simplify 124044 to its lowest form.
The greatest common divisor (GCD) of 1240 and 44 is 4.
Dividing both numerator and denominator by the GCD, we get 31011.

Step 6: Convert to Mixed Number

The fraction 31011 can be written as the mixed number 28211.

Final Answer

The result of 15/22 added to 110/4 is:

1522+1104=28211

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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