12/118 added to 30/4 in Fraction Form

The result of 12/118 added to 30/4 is: 7 71/118

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 12118 and 304.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 118 and 4 is 236.

Step 3: Convert Fractions to Equivalent Fractions

Convert 12118 to 24236
Convert 304 to 1770236

Step 4: Add the Numerators

Add the numerators: 24 + 1770 = 1794

Step 5: Simplify the Fraction

We can simplify 1794236 to its lowest form.
The greatest common divisor (GCD) of 1794 and 236 is 2.
Dividing both numerator and denominator by the GCD, we get 897118.

Step 6: Convert to Mixed Number

The fraction 897118 can be written as the mixed number 771118.

Final Answer

The result of 12/118 added to 30/4 is:

12118+304=771118

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: