12/14 added to 53/3 in Fraction Form

The result of 12/14 added to 53/3 is: 18 11/21

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 1214 and 533.

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 1214 to 3642
Convert 533 to 74242

Step 4: Add the Numerators

Add the numerators: 36 + 742 = 778

Step 5: Simplify the Fraction

We can simplify 77842 to its lowest form.
The greatest common divisor (GCD) of 778 and 42 is 2.
Dividing both numerator and denominator by the GCD, we get 38921.

Step 6: Convert to Mixed Number

The fraction 38921 can be written as the mixed number 181121.

Final Answer

The result of 12/14 added to 53/3 is:

1214+533=181121

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: