48/41 added to 12/3 in Fraction Form

The result of 48/41 added to 12/3 is: 5 7/41

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 4841 and 123.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 41 and 3 is 123.

Step 3: Convert Fractions to Equivalent Fractions

Convert 4841 to 144123
Convert 123 to 492123

Step 4: Add the Numerators

Add the numerators: 144 + 492 = 636

Step 5: Simplify the Fraction

We can simplify 636123 to its lowest form.
The greatest common divisor (GCD) of 636 and 123 is 3.
Dividing both numerator and denominator by the GCD, we get 21241.

Step 6: Convert to Mixed Number

The fraction 21241 can be written as the mixed number 5741.

Final Answer

The result of 48/41 added to 12/3 is:

4841+123=5741

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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