6/65 added to 25/2 in Fraction Form

The result of 6/65 added to 25/2 is: 12 77/130

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions \(\frac665\) and \(\frac252\).

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 65 and 2 is 130.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac665\) to \(\frac{12}130\)
Convert \(\frac252\) to \(\frac{1625}130\)

Step 4: Add the Numerators

Add the numerators: 12 + 1625 = 1637

Step 5: Convert to Mixed Number

The fraction \(\frac1637130\) can be written as the mixed number \(12\frac77130\).

Final Answer

The result of 6/65 added to 25/2 is:

\[ \frac{6}{65} + \frac{25}{2} = 12\frac77130 \]

Understanding Fraction Addition

How to Add Fractions

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

\( \frac{a}{b} + \frac{c}{d} = \frac{ad + bc}{bd} \) (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: