12/51 added to 16/4 in Fraction Form

The result of 12/51 added to 16/4 is: 4 4/17

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1251 and 164.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 51 and 4 is 204.

Step 3: Convert Fractions to Equivalent Fractions

Convert 1251 to 48204
Convert 164 to 816204

Step 4: Add the Numerators

Add the numerators: 48 + 816 = 864

Step 5: Simplify the Fraction

We can simplify 864204 to its lowest form.
The greatest common divisor (GCD) of 864 and 204 is 12.
Dividing both numerator and denominator by the GCD, we get 7217.

Step 6: Convert to Mixed Number

The fraction 7217 can be written as the mixed number 4417.

Final Answer

The result of 12/51 added to 16/4 is:

1251+164=4417

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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