52/11 added to 10/4 in Fraction Form

The result of 52/11 added to 10/4 is: 7 5/22

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 5211 and 104.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 11 and 4 is 44.

Step 3: Convert Fractions to Equivalent Fractions

Convert 5211 to 20844
Convert 104 to 11044

Step 4: Add the Numerators

Add the numerators: 208 + 110 = 318

Step 5: Simplify the Fraction

We can simplify 31844 to its lowest form.
The greatest common divisor (GCD) of 318 and 44 is 2.
Dividing both numerator and denominator by the GCD, we get 15922.

Step 6: Convert to Mixed Number

The fraction 15922 can be written as the mixed number 7522.

Final Answer

The result of 52/11 added to 10/4 is:

5211+104=7522

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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