26/182 added to 53/2 in Fraction Form

The result of 26/182 added to 53/2 is: 26 9/14

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions $\frac{2}{6} 182$ and $\frac{5}{3} 2$ .

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 182 and 2 is 182.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{2}{6} 182$ to $\frac{26}{1} 82$
Convert $\frac{5}{3} 2$ to $\frac{4823}{1} 82$

Step 4: Add the Numerators

Add the numerators: 26 + 4823 = 4849

Step 5: Simplify the Fraction

We can simplify $\frac{4}{8} 49182$ to its lowest form.
The greatest common divisor (GCD) of 4849 and 182 is 13.
Dividing both numerator and denominator by the GCD, we get $\frac{3}{7} 314$ .

Step 6: Convert to Mixed Number

The fraction $\frac{3}{7} 314$ can be written as the mixed number $26 \frac{9}{1} 4$ .

Final Answer

The result of 26/182 added to 53/2 is:

\frac{26}{182} + \frac{53}{2} = 26 \frac{9}{1} 4

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: