49/182 added to 83/3 in Fraction Form

The result of 49/182 added to 83/3 is: 27 73/78

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 49182 and 833.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 182 and 3 is 546.

Step 3: Convert Fractions to Equivalent Fractions

Convert 49182 to 147546
Convert 833 to 15106546

Step 4: Add the Numerators

Add the numerators: 147 + 15106 = 15253

Step 5: Simplify the Fraction

We can simplify 15253546 to its lowest form.
The greatest common divisor (GCD) of 15253 and 546 is 7.
Dividing both numerator and denominator by the GCD, we get 217978.

Step 6: Convert to Mixed Number

The fraction 217978 can be written as the mixed number 277378.

Final Answer

The result of 49/182 added to 83/3 is:

49182+833=277378

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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