213/18 added to 29/4 in Fraction Form

The result of 213/18 added to 29/4 is: 19 1/12

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 21318 and 294.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 18 and 4 is 36.

Step 3: Convert Fractions to Equivalent Fractions

Convert 21318 to 42636
Convert 294 to 26136

Step 4: Add the Numerators

Add the numerators: 426 + 261 = 687

Step 5: Simplify the Fraction

We can simplify 68736 to its lowest form.
The greatest common divisor (GCD) of 687 and 36 is 3.
Dividing both numerator and denominator by the GCD, we get 22912.

Step 6: Convert to Mixed Number

The fraction 22912 can be written as the mixed number 19112.

Final Answer

The result of 213/18 added to 29/4 is:

21318+294=19112

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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