19/17 added to 171/4 in Fraction Form

The result of 19/17 added to 171/4 is: 43 59/68

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions $\frac{1}{9} 17$ and $\frac{1}{7} 14$ .

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 17 and 4 is 68.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{1}{9} 17$ to $\frac{76}{6} 8$
Convert $\frac{1}{7} 14$ to $\frac{2907}{6} 8$

Step 4: Add the Numerators

Add the numerators: 76 + 2907 = 2983

Step 5: Convert to Mixed Number

The fraction $\frac{2}{9} 8368$ can be written as the mixed number $43 \frac{5}{9} 68$ .

Final Answer

The result of 19/17 added to 171/4 is:

\frac{19}{17} + \frac{171}{4} = 43 \frac{5}{9} 68

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: