28/127 added to 170/4 in Fraction Form

The result of 28/127 added to 170/4 is: 42 183/254

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 28127 and 1704.

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 28127 to 112508
Convert 1704 to 21590508

Step 4: Add the Numerators

Add the numerators: 112 + 21590 = 21702

Step 5: Simplify the Fraction

We can simplify 21702508 to its lowest form.
The greatest common divisor (GCD) of 21702 and 508 is 2.
Dividing both numerator and denominator by the GCD, we get 10851254.

Step 6: Convert to Mixed Number

The fraction 10851254 can be written as the mixed number 42183254.

Final Answer

The result of 28/127 added to 170/4 is:

28127+1704=42183254

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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