82/38 added to 19/4 in Fraction Form

The result of 82/38 added to 19/4 is: 6 69/76

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions $\frac{8}{2} 38$ and $\frac{1}{9} 4$ .

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 38 and 4 is 76.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{8}{2} 38$ to $\frac{164}{7} 6$
Convert $\frac{1}{9} 4$ to $\frac{361}{7} 6$

Step 4: Add the Numerators

Add the numerators: 164 + 361 = 525

Step 5: Convert to Mixed Number

The fraction $\frac{5}{2} 576$ can be written as the mixed number $6 \frac{6}{9} 76$ .

Final Answer

The result of 82/38 added to 19/4 is:

\frac{82}{38} + \frac{19}{4} = 6 \frac{6}{9} 76

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: