69/210 added to 1/4 in Fraction Form

The result of 69/210 added to 1/4 is: 81/140

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 69210 and 14.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 210 and 4 is 420.

Step 3: Convert Fractions to Equivalent Fractions

Convert 69210 to 138420
Convert 14 to 105420

Step 4: Add the Numerators

Add the numerators: 138 + 105 = 243

Step 5: Simplify the Fraction

We can simplify 243420 to its lowest form.
The greatest common divisor (GCD) of 243 and 420 is 3.
Dividing both numerator and denominator by the GCD, we get 81140.

Final Answer

The result of 69/210 added to 1/4 is:

69210+14=81140

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: