28/59 added to 182/4 in Fraction Form

The result of 28/59 added to 182/4 is: 45 115/118

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2859 and 1824.

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 2859 to 112236
Convert 1824 to 10738236

Step 4: Add the Numerators

Add the numerators: 112 + 10738 = 10850

Step 5: Simplify the Fraction

We can simplify 10850236 to its lowest form.
The greatest common divisor (GCD) of 10850 and 236 is 2.
Dividing both numerator and denominator by the GCD, we get 5425118.

Step 6: Convert to Mixed Number

The fraction 5425118 can be written as the mixed number 45115118.

Final Answer

The result of 28/59 added to 182/4 is:

2859+1824=45115118

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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