42/104 added to 102/2 in Fraction Form

The result of 42/104 added to 102/2 is: 51 21/52

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 42104 and 1022.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 104 and 2 is 104.

Step 3: Convert Fractions to Equivalent Fractions

Convert 42104 to 42104
Convert 1022 to 5304104

Step 4: Add the Numerators

Add the numerators: 42 + 5304 = 5346

Step 5: Simplify the Fraction

We can simplify 5346104 to its lowest form.
The greatest common divisor (GCD) of 5346 and 104 is 2.
Dividing both numerator and denominator by the GCD, we get 267352.

Step 6: Convert to Mixed Number

The fraction 267352 can be written as the mixed number 512152.

Final Answer

The result of 42/104 added to 102/2 is:

42104+1022=512152

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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