28/30 added to 210/2 in Fraction Form

The result of 28/30 added to 210/2 is: 105 14/15

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 2830 and 2102.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 30 and 2 is 30.

Step 3: Convert Fractions to Equivalent Fractions

Convert 2830 to 2830
Convert 2102 to 315030

Step 4: Add the Numerators

Add the numerators: 28 + 3150 = 3178

Step 5: Simplify the Fraction

We can simplify 317830 to its lowest form.
The greatest common divisor (GCD) of 3178 and 30 is 2.
Dividing both numerator and denominator by the GCD, we get 158915.

Step 6: Convert to Mixed Number

The fraction 158915 can be written as the mixed number 1051415.

Final Answer

The result of 28/30 added to 210/2 is:

2830+2102=1051415

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: