47/59 added to 118/4 in Fraction Form

The result of 47/59 added to 118/4 is: 30 35/118

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 4759 and 1184.

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 4759 to 188236
Convert 1184 to 6962236

Step 4: Add the Numerators

Add the numerators: 188 + 6962 = 7150

Step 5: Simplify the Fraction

We can simplify 7150236 to its lowest form.
The greatest common divisor (GCD) of 7150 and 236 is 2.
Dividing both numerator and denominator by the GCD, we get 3575118.

Step 6: Convert to Mixed Number

The fraction 3575118 can be written as the mixed number 3035118.

Final Answer

The result of 47/59 added to 118/4 is:

4759+1184=3035118

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

Calculate operations between any two fractions: