70/202 added to 22/4 in Fraction Form

The result of 70/202 added to 22/4 is: 5 171/202

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 70202 and 224.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 202 and 4 is 404.

Step 3: Convert Fractions to Equivalent Fractions

Convert 70202 to 140404
Convert 224 to 2222404

Step 4: Add the Numerators

Add the numerators: 140 + 2222 = 2362

Step 5: Simplify the Fraction

We can simplify 2362404 to its lowest form.
The greatest common divisor (GCD) of 2362 and 404 is 2.
Dividing both numerator and denominator by the GCD, we get 1181202.

Step 6: Convert to Mixed Number

The fraction 1181202 can be written as the mixed number 5171202.

Final Answer

The result of 70/202 added to 22/4 is:

70202+224=5171202

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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