69/25 added to 2/3 in Fraction Form

The result of 69/25 added to 2/3 is: 3 32/75

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions $\frac{6}{9} 25$ and $\frac{2}{3}$ .

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 25 and 3 is 75.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{6}{9} 25$ to $\frac{207}{7} 5$
Convert $\frac{2}{3}$ to $\frac{50}{7} 5$

Step 4: Add the Numerators

Add the numerators: 207 + 50 = 257

Step 5: Convert to Mixed Number

The fraction $\frac{2}{5} 775$ can be written as the mixed number $3 \frac{3}{2} 75$ .

Final Answer

The result of 69/25 added to 2/3 is:

\frac{69}{25} + \frac{2}{3} = 3 \frac{3}{2} 75

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: