100/57 added to 102/4 in Fraction Form

The result of 100/57 added to 102/4 is: 27 29/114

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 10057 and 1024.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 57 and 4 is 228.

Step 3: Convert Fractions to Equivalent Fractions

Convert 10057 to 400228
Convert 1024 to 5814228

Step 4: Add the Numerators

Add the numerators: 400 + 5814 = 6214

Step 5: Simplify the Fraction

We can simplify 6214228 to its lowest form.
The greatest common divisor (GCD) of 6214 and 228 is 2.
Dividing both numerator and denominator by the GCD, we get 3107114.

Step 6: Convert to Mixed Number

The fraction 3107114 can be written as the mixed number 2729114.

Final Answer

The result of 100/57 added to 102/4 is:

10057+1024=2729114

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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