38/18 added to 11/6 in Fraction Form

The result of 38/18 added to 11/6 is: 3 17/18

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions $\frac{3}{8} 18$ and $\frac{1}{1} 6$ .

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 18 and 6 is 18.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{3}{8} 18$ to $\frac{38}{1} 8$
Convert $\frac{1}{1} 6$ to $\frac{33}{1} 8$

Step 4: Add the Numerators

Add the numerators: 38 + 33 = 71

Step 5: Convert to Mixed Number

The fraction $\frac{7}{1} 18$ can be written as the mixed number $3 \frac{1}{7} 18$ .

Final Answer

The result of 38/18 added to 11/6 is:

\frac{38}{18} + \frac{11}{6} = 3 \frac{1}{7} 18

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: