67/147 added to 82/4 in Fraction Form

The result of 67/147 added to 82/4 is: 20 281/294

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 67147 and 824.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 147 and 4 is 588.

Step 3: Convert Fractions to Equivalent Fractions

Convert 67147 to 268588
Convert 824 to 12054588

Step 4: Add the Numerators

Add the numerators: 268 + 12054 = 12322

Step 5: Simplify the Fraction

We can simplify 12322588 to its lowest form.
The greatest common divisor (GCD) of 12322 and 588 is 2.
Dividing both numerator and denominator by the GCD, we get 6161294.

Step 6: Convert to Mixed Number

The fraction 6161294 can be written as the mixed number 20281294.

Final Answer

The result of 67/147 added to 82/4 is:

67147+824=20281294

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: