82/157 added to 2/2 in Fraction Form

The result of 82/157 added to 2/2 is: 1 82/157

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 82157 and 22.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 157 and 2 is 314.

Step 3: Convert Fractions to Equivalent Fractions

Convert 82157 to 164314
Convert 22 to 314314

Step 4: Add the Numerators

Add the numerators: 164 + 314 = 478

Step 5: Simplify the Fraction

We can simplify 478314 to its lowest form.
The greatest common divisor (GCD) of 478 and 314 is 2.
Dividing both numerator and denominator by the GCD, we get 239157.

Step 6: Convert to Mixed Number

The fraction 239157 can be written as the mixed number 182157.

Final Answer

The result of 82/157 added to 2/2 is:

82157+22=182157

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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