42/213 added to 39/3 in Fraction Form

The result of 42/213 added to 39/3 is: 13 14/71

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 42213 and 393.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 213 and 3 is 213.

Step 3: Convert Fractions to Equivalent Fractions

Convert 42213 to 42213
Convert 393 to 2769213

Step 4: Add the Numerators

Add the numerators: 42 + 2769 = 2811

Step 5: Simplify the Fraction

We can simplify 2811213 to its lowest form.
The greatest common divisor (GCD) of 2811 and 213 is 3.
Dividing both numerator and denominator by the GCD, we get 93771.

Step 6: Convert to Mixed Number

The fraction 93771 can be written as the mixed number 131471.

Final Answer

The result of 42/213 added to 39/3 is:

42213+393=131471

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: