153/127 added to 28/4 in Fraction Form

The result of 153/127 added to 28/4 is: 8 26/127

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 153127 and 284.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 127 and 4 is 508.

Step 3: Convert Fractions to Equivalent Fractions

Convert 153127 to 612508
Convert 284 to 3556508

Step 4: Add the Numerators

Add the numerators: 612 + 3556 = 4168

Step 5: Simplify the Fraction

We can simplify 4168508 to its lowest form.
The greatest common divisor (GCD) of 4168 and 508 is 4.
Dividing both numerator and denominator by the GCD, we get 1042127.

Step 6: Convert to Mixed Number

The fraction 1042127 can be written as the mixed number 826127.

Final Answer

The result of 153/127 added to 28/4 is:

153127+284=826127

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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