127/162 added to 43/2 in Fraction Form

The result of 127/162 added to 43/2 is: 22 23/81

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 127162 and 432.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 162 and 2 is 162.

Step 3: Convert Fractions to Equivalent Fractions

Convert 127162 to 127162
Convert 432 to 3483162

Step 4: Add the Numerators

Add the numerators: 127 + 3483 = 3610

Step 5: Simplify the Fraction

We can simplify 3610162 to its lowest form.
The greatest common divisor (GCD) of 3610 and 162 is 2.
Dividing both numerator and denominator by the GCD, we get 180581.

Step 6: Convert to Mixed Number

The fraction 180581 can be written as the mixed number 222381.

Final Answer

The result of 127/162 added to 43/2 is:

127162+432=222381

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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