210/9 added to 36/4 in Fraction Form

The result of 210/9 added to 36/4 is: 32 1/3

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2109 and 364.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 9 and 4 is 36.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2109 to 84036
Convert 364 to 32436

Step 4: Add the Numerators

Add the numerators: 840 + 324 = 1164

Step 5: Simplify the Fraction

We can simplify 116436 to its lowest form.
The greatest common divisor (GCD) of 1164 and 36 is 12.
Dividing both numerator and denominator by the GCD, we get 973.

Step 6: Convert to Mixed Number

The fraction 973 can be written as the mixed number 3213.

Final Answer

The result of 210/9 added to 36/4 is:

2109+364=3213

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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