83/151 added to 81/3 in Fraction Form

The result of 83/151 added to 81/3 is: 27 83/151

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 83151 and 813.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 151 and 3 is 453.

Step 3: Convert Fractions to Equivalent Fractions

Convert 83151 to 249453
Convert 813 to 12231453

Step 4: Add the Numerators

Add the numerators: 249 + 12231 = 12480

Step 5: Simplify the Fraction

We can simplify 12480453 to its lowest form.
The greatest common divisor (GCD) of 12480 and 453 is 3.
Dividing both numerator and denominator by the GCD, we get 4160151.

Step 6: Convert to Mixed Number

The fraction 4160151 can be written as the mixed number 2783151.

Final Answer

The result of 83/151 added to 81/3 is:

83151+813=2783151

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).

Fraction Calculator

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