32/13 added to 32/8 in Fraction Form

The result of 32/13 added to 32/8 is: 6 6/13

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions $\frac{3}{2} 13$ and $\frac{3}{2} 8$ .

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 13 and 8 is 104.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{3}{2} 13$ to $\frac{256}{1} 04$
Convert $\frac{3}{2} 8$ to $\frac{416}{1} 04$

Step 4: Add the Numerators

Add the numerators: 256 + 416 = 672

Step 5: Simplify the Fraction

We can simplify $\frac{6}{7} 2104$ to its lowest form.
The greatest common divisor (GCD) of 672 and 104 is 8.
Dividing both numerator and denominator by the GCD, we get $\frac{8}{4} 13$ .

Step 6: Convert to Mixed Number

The fraction $\frac{8}{4} 13$ can be written as the mixed number $6 \frac{6}{1} 3$ .

Final Answer

The result of 32/13 added to 32/8 is:

\frac{32}{13} + \frac{32}{8} = 6 \frac{6}{1} 3

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: