12/254 added to 16/3 in Fraction Form

The result of 12/254 added to 16/3 is: 5 145/381

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 12254 and 163.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 254 and 3 is 762.

Step 3: Convert Fractions to Equivalent Fractions

Convert 12254 to 36762
Convert 163 to 4064762

Step 4: Add the Numerators

Add the numerators: 36 + 4064 = 4100

Step 5: Simplify the Fraction

We can simplify 4100762 to its lowest form.
The greatest common divisor (GCD) of 4100 and 762 is 2.
Dividing both numerator and denominator by the GCD, we get 2050381.

Step 6: Convert to Mixed Number

The fraction 2050381 can be written as the mixed number 5145381.

Final Answer

The result of 12/254 added to 16/3 is:

12254+163=5145381

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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