213/61 added to 17/3 in Fraction Form

The result of 213/61 added to 17/3 is: 9 29/183

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions $\frac{2}{1} 361$ and $\frac{1}{7} 3$ .

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 61 and 3 is 183.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{2}{1} 361$ to $\frac{639}{1} 83$
Convert $\frac{1}{7} 3$ to $\frac{1037}{1} 83$

Step 4: Add the Numerators

Add the numerators: 639 + 1037 = 1676

Step 5: Convert to Mixed Number

The fraction $\frac{1}{6} 76183$ can be written as the mixed number $9 \frac{2}{9} 183$ .

Final Answer

The result of 213/61 added to 17/3 is:

\frac{213}{61} + \frac{17}{3} = 9 \frac{2}{9} 183

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: