27/173 added to 83/4 in Fraction Form

The result of 27/173 added to 83/4 is: 20 627/692

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions $\frac{2}{7} 173$ and $\frac{8}{3} 4$ .

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 173 and 4 is 692.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{2}{7} 173$ to $\frac{108}{6} 92$
Convert $\frac{8}{3} 4$ to $\frac{14359}{6} 92$

Step 4: Add the Numerators

Add the numerators: 108 + 14359 = 14467

Step 5: Convert to Mixed Number

The fraction $\frac{1}{4} 467692$ can be written as the mixed number $20 \frac{6}{2} 7692$ .

Final Answer

The result of 27/173 added to 83/4 is:

\frac{27}{173} + \frac{83}{4} = 20 \frac{6}{2} 7692

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: