4/76 added to 83/3 in Fraction Form

The result of 4/76 added to 83/3 is: 27 41/57

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 476 and 833.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 76 and 3 is 228.

Step 3: Convert Fractions to Equivalent Fractions

Convert 476 to 12228
Convert 833 to 6308228

Step 4: Add the Numerators

Add the numerators: 12 + 6308 = 6320

Step 5: Simplify the Fraction

We can simplify 6320228 to its lowest form.
The greatest common divisor (GCD) of 6320 and 228 is 4.
Dividing both numerator and denominator by the GCD, we get 158057.

Step 6: Convert to Mixed Number

The fraction 158057 can be written as the mixed number 274157.

Final Answer

The result of 4/76 added to 83/3 is:

476+833=274157

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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