11/149 added to 112/4 in Fraction Form

The result of 11/149 added to 112/4 is: 28 11/149

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 11149 and 1124.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 149 and 4 is 596.

Step 3: Convert Fractions to Equivalent Fractions

Convert 11149 to 44596
Convert 1124 to 16688596

Step 4: Add the Numerators

Add the numerators: 44 + 16688 = 16732

Step 5: Simplify the Fraction

We can simplify 16732596 to its lowest form.
The greatest common divisor (GCD) of 16732 and 596 is 4.
Dividing both numerator and denominator by the GCD, we get 4183149.

Step 6: Convert to Mixed Number

The fraction 4183149 can be written as the mixed number 2811149.

Final Answer

The result of 11/149 added to 112/4 is:

11149+1124=2811149

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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