32/14 added to 210/3 in Fraction Form

The result of 32/14 added to 210/3 is: 72 2/7

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 3214 and 2103.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 14 and 3 is 42.

Step 3: Convert Fractions to Equivalent Fractions

Convert 3214 to 9642
Convert 2103 to 294042

Step 4: Add the Numerators

Add the numerators: 96 + 2940 = 3036

Step 5: Simplify the Fraction

We can simplify 303642 to its lowest form.
The greatest common divisor (GCD) of 3036 and 42 is 6.
Dividing both numerator and denominator by the GCD, we get 5067.

Step 6: Convert to Mixed Number

The fraction 5067 can be written as the mixed number 7227.

Final Answer

The result of 32/14 added to 210/3 is:

3214+2103=7227

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: