23/210 added to 48/4 in Fraction Form

The result of 23/210 added to 48/4 is: 12 23/210

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 23210 and 484.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 210 and 4 is 420.

Step 3: Convert Fractions to Equivalent Fractions

Convert 23210 to 46420
Convert 484 to 5040420

Step 4: Add the Numerators

Add the numerators: 46 + 5040 = 5086

Step 5: Simplify the Fraction

We can simplify 5086420 to its lowest form.
The greatest common divisor (GCD) of 5086 and 420 is 2.
Dividing both numerator and denominator by the GCD, we get 2543210.

Step 6: Convert to Mixed Number

The fraction 2543210 can be written as the mixed number 1223210.

Final Answer

The result of 23/210 added to 48/4 is:

23210+484=1223210

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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