32/19 added to 233/3 in Fraction Form

The result of 32/19 added to 233/3 is: 79 20/57

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions $\frac{3}{2} 19$ and $\frac{2}{3} 33$ .

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 19 and 3 is 57.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{3}{2} 19$ to $\frac{96}{5} 7$
Convert $\frac{2}{3} 33$ to $\frac{4427}{5} 7$

Step 4: Add the Numerators

Add the numerators: 96 + 4427 = 4523

Step 5: Convert to Mixed Number

The fraction $\frac{4}{5} 2357$ can be written as the mixed number $79 \frac{2}{0} 57$ .

Final Answer

The result of 32/19 added to 233/3 is:

\frac{32}{19} + \frac{233}{3} = 79 \frac{2}{0} 57

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: