70/206 added to 32/4 in Fraction Form

The result of 70/206 added to 32/4 is: 8 35/103

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 70206 and 324.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 206 and 4 is 412.

Step 3: Convert Fractions to Equivalent Fractions

Convert 70206 to 140412
Convert 324 to 3296412

Step 4: Add the Numerators

Add the numerators: 140 + 3296 = 3436

Step 5: Simplify the Fraction

We can simplify 3436412 to its lowest form.
The greatest common divisor (GCD) of 3436 and 412 is 4.
Dividing both numerator and denominator by the GCD, we get 859103.

Step 6: Convert to Mixed Number

The fraction 859103 can be written as the mixed number 835103.

Final Answer

The result of 70/206 added to 32/4 is:

70206+324=835103

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: