30/80 added to 202/4 in Fraction Form

The result of 30/80 added to 202/4 is: 50 7/8

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 3080 and 2024.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 80 and 4 is 80.

Step 3: Convert Fractions to Equivalent Fractions

Convert 3080 to 3080
Convert 2024 to 404080

Step 4: Add the Numerators

Add the numerators: 30 + 4040 = 4070

Step 5: Simplify the Fraction

We can simplify 407080 to its lowest form.
The greatest common divisor (GCD) of 4070 and 80 is 10.
Dividing both numerator and denominator by the GCD, we get 4078.

Step 6: Convert to Mixed Number

The fraction 4078 can be written as the mixed number 5078.

Final Answer

The result of 30/80 added to 202/4 is:

3080+2024=5078

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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