28/109 added to 142/4 in Fraction Form

The result of 28/109 added to 142/4 is: 35 165/218

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 28109 and 1424.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 109 and 4 is 436.

Step 3: Convert Fractions to Equivalent Fractions

Convert 28109 to 112436
Convert 1424 to 15478436

Step 4: Add the Numerators

Add the numerators: 112 + 15478 = 15590

Step 5: Simplify the Fraction

We can simplify 15590436 to its lowest form.
The greatest common divisor (GCD) of 15590 and 436 is 2.
Dividing both numerator and denominator by the GCD, we get 7795218.

Step 6: Convert to Mixed Number

The fraction 7795218 can be written as the mixed number 35165218.

Final Answer

The result of 28/109 added to 142/4 is:

28109+1424=35165218

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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