11/97 added to 48/4 in Fraction Form

The result of 11/97 added to 48/4 is: 12 11/97

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1197 and 484.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 97 and 4 is 388.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1197 to 44388
Convert 484 to 4656388

Step 4: Add the Numerators

Add the numerators: 44 + 4656 = 4700

Step 5: Simplify the Fraction

We can simplify 4700388 to its lowest form.
The greatest common divisor (GCD) of 4700 and 388 is 4.
Dividing both numerator and denominator by the GCD, we get 117597.

Step 6: Convert to Mixed Number

The fraction 117597 can be written as the mixed number 121197.

Final Answer

The result of 11/97 added to 48/4 is:

1197+484=121197

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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