72/136 added to 11/3 in Fraction Form

The result of 72/136 added to 11/3 is: 4 10/51

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 72136 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 72136 to 216408
Convert 113 to 1496408

Step 4: Add the Numerators

Add the numerators: 216 + 1496 = 1712

Step 5: Simplify the Fraction

We can simplify 1712408 to its lowest form.
The greatest common divisor (GCD) of 1712 and 408 is 8.
Dividing both numerator and denominator by the GCD, we get 21451.

Step 6: Convert to Mixed Number

The fraction 21451 can be written as the mixed number 41051.

Final Answer

The result of 72/136 added to 11/3 is:

72136+113=41051

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).

Fraction Calculator

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