82/112 added to 135/3 in Fraction Form

The result of 82/112 added to 135/3 is: 45 41/56

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 82112 and 1353.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 112 and 3 is 336.

Step 3: Convert Fractions to Equivalent Fractions

Convert 82112 to 246336
Convert 1353 to 15120336

Step 4: Add the Numerators

Add the numerators: 246 + 15120 = 15366

Step 5: Simplify the Fraction

We can simplify 15366336 to its lowest form.
The greatest common divisor (GCD) of 15366 and 336 is 6.
Dividing both numerator and denominator by the GCD, we get 256156.

Step 6: Convert to Mixed Number

The fraction 256156 can be written as the mixed number 454156.

Final Answer

The result of 82/112 added to 135/3 is:

82112+1353=454156

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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