151/127 added to 28/6 in Fraction Form

The result of 151/127 added to 28/6 is: 5 326/381

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 151127 and 286.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 127 and 6 is 762.

Step 3: Convert Fractions to Equivalent Fractions

Convert 151127 to 906762
Convert 286 to 3556762

Step 4: Add the Numerators

Add the numerators: 906 + 3556 = 4462

Step 5: Simplify the Fraction

We can simplify 4462762 to its lowest form.
The greatest common divisor (GCD) of 4462 and 762 is 2.
Dividing both numerator and denominator by the GCD, we get 2231381.

Step 6: Convert to Mixed Number

The fraction 2231381 can be written as the mixed number 5326381.

Final Answer

The result of 151/127 added to 28/6 is:

151127+286=5326381

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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