82/59 added to 30/4 in Fraction Form

The result of 82/59 added to 30/4 is: 8 105/118

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 8259 and 304.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 59 and 4 is 236.

Step 3: Convert Fractions to Equivalent Fractions

Convert 8259 to 328236
Convert 304 to 1770236

Step 4: Add the Numerators

Add the numerators: 328 + 1770 = 2098

Step 5: Simplify the Fraction

We can simplify 2098236 to its lowest form.
The greatest common divisor (GCD) of 2098 and 236 is 2.
Dividing both numerator and denominator by the GCD, we get 1049118.

Step 6: Convert to Mixed Number

The fraction 1049118 can be written as the mixed number 8105118.

Final Answer

The result of 82/59 added to 30/4 is:

8259+304=8105118

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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