69/68 added to 72/3 in Fraction Form

The result of 69/68 added to 72/3 is: 25 1/68

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions $\frac{6}{9} 68$ and $\frac{7}{2} 3$ .

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 68 and 3 is 204.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{6}{9} 68$ to $\frac{207}{2} 04$
Convert $\frac{7}{2} 3$ to $\frac{4896}{2} 04$

Step 4: Add the Numerators

Add the numerators: 207 + 4896 = 5103

Step 5: Simplify the Fraction

We can simplify $\frac{5}{1} 03204$ to its lowest form.
The greatest common divisor (GCD) of 5103 and 204 is 3.
Dividing both numerator and denominator by the GCD, we get $\frac{1}{7} 0168$ .

Step 6: Convert to Mixed Number

The fraction $\frac{1}{7} 0168$ can be written as the mixed number $25 \frac{1}{6} 8$ .

Final Answer

The result of 69/68 added to 72/3 is:

\frac{69}{68} + \frac{72}{3} = 25 \frac{1}{6} 8

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: