9/55 added to 14/4 in Fraction Form

The result of 9/55 added to 14/4 is: 3 73/110

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 955 and 144.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 55 and 4 is 220.

Step 3: Convert Fractions to Equivalent Fractions

Convert 955 to 36220
Convert 144 to 770220

Step 4: Add the Numerators

Add the numerators: 36 + 770 = 806

Step 5: Simplify the Fraction

We can simplify 806220 to its lowest form.
The greatest common divisor (GCD) of 806 and 220 is 2.
Dividing both numerator and denominator by the GCD, we get 403110.

Step 6: Convert to Mixed Number

The fraction 403110 can be written as the mixed number 373110.

Final Answer

The result of 9/55 added to 14/4 is:

955+144=373110

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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