21/257 added to 2/2 in Fraction Form

The result of 21/257 added to 2/2 is: 1 21/257

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions $\frac{2}{1} 257$ and $\frac{2}{2}$ .

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 257 and 2 is 514.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{2}{1} 257$ to $\frac{42}{5} 14$
Convert $\frac{2}{2}$ to $\frac{514}{5} 14$

Step 4: Add the Numerators

Add the numerators: 42 + 514 = 556

Step 5: Simplify the Fraction

We can simplify $\frac{5}{5} 6514$ to its lowest form.
The greatest common divisor (GCD) of 556 and 514 is 2.
Dividing both numerator and denominator by the GCD, we get $\frac{2}{7} 8257$ .

Step 6: Convert to Mixed Number

The fraction $\frac{2}{7} 8257$ can be written as the mixed number $1 \frac{2}{1} 257$ .

Final Answer

The result of 21/257 added to 2/2 is:

\frac{21}{257} + \frac{2}{2} = 1 \frac{2}{1} 257

Understanding Fraction Addition

How to Add Fractions

To add fractions, you need to ensure they have a common denominator. Then add the numerators:

$\frac{a}{b} + \frac{c}{d} = \frac{a d + b c}{b d}$ (when denominators are different)

Or simply $\frac{a}{b} + \frac{c}{b} = \frac{a + c}{b}$ (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: