76/232 added to 7/2 in Fraction Form

The result of 76/232 added to 7/2 is: 3 24/29

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 76232 and 72.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 232 and 2 is 232.

Step 3: Convert Fractions to Equivalent Fractions

Convert 76232 to 76232
Convert 72 to 812232

Step 4: Add the Numerators

Add the numerators: 76 + 812 = 888

Step 5: Simplify the Fraction

We can simplify 888232 to its lowest form.
The greatest common divisor (GCD) of 888 and 232 is 8.
Dividing both numerator and denominator by the GCD, we get 11129.

Step 6: Convert to Mixed Number

The fraction 11129 can be written as the mixed number 32429.

Final Answer

The result of 76/232 added to 7/2 is:

76232+72=32429

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: