53/222 added to 8/4 in Fraction Form

The result of 53/222 added to 8/4 is: 2 53/222

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 53222 and 84.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 222 and 4 is 444.

Step 3: Convert Fractions to Equivalent Fractions

Convert 53222 to 106444
Convert 84 to 888444

Step 4: Add the Numerators

Add the numerators: 106 + 888 = 994

Step 5: Simplify the Fraction

We can simplify 994444 to its lowest form.
The greatest common divisor (GCD) of 994 and 444 is 2.
Dividing both numerator and denominator by the GCD, we get 497222.

Step 6: Convert to Mixed Number

The fraction 497222 can be written as the mixed number 253222.

Final Answer

The result of 53/222 added to 8/4 is:

53222+84=253222

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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