135/33 added to 118/4 in Fraction Form

The result of 135/33 added to 118/4 is: 33 13/22

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 13533 and 1184.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 33 and 4 is 132.

Step 3: Convert Fractions to Equivalent Fractions

Convert 13533 to 540132
Convert 1184 to 3894132

Step 4: Add the Numerators

Add the numerators: 540 + 3894 = 4434

Step 5: Simplify the Fraction

We can simplify 4434132 to its lowest form.
The greatest common divisor (GCD) of 4434 and 132 is 6.
Dividing both numerator and denominator by the GCD, we get 73922.

Step 6: Convert to Mixed Number

The fraction 73922 can be written as the mixed number 331322.

Final Answer

The result of 135/33 added to 118/4 is:

13533+1184=331322

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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