48/136 added to 11/3 in Fraction Form

The result of 48/136 added to 11/3 is: 4 1/51

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 48136 and 113.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 136 and 3 is 408.

Step 3: Convert Fractions to Equivalent Fractions

Convert 48136 to 144408
Convert 113 to 1496408

Step 4: Add the Numerators

Add the numerators: 144 + 1496 = 1640

Step 5: Simplify the Fraction

We can simplify 1640408 to its lowest form.
The greatest common divisor (GCD) of 1640 and 408 is 8.
Dividing both numerator and denominator by the GCD, we get 20551.

Step 6: Convert to Mixed Number

The fraction 20551 can be written as the mixed number 4151.

Final Answer

The result of 48/136 added to 11/3 is:

48136+113=4151

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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