32/82 added to 103/4 in Fraction Form

The result of 32/82 added to 103/4 is: 26 23/164

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions $\frac{3}{2} 82$ and $\frac{1}{0} 34$ .

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 82 and 4 is 164.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{3}{2} 82$ to $\frac{64}{1} 64$
Convert $\frac{1}{0} 34$ to $\frac{4223}{1} 64$

Step 4: Add the Numerators

Add the numerators: 64 + 4223 = 4287

Step 5: Convert to Mixed Number

The fraction $\frac{4}{2} 87164$ can be written as the mixed number $26 \frac{2}{3} 164$ .

Final Answer

The result of 32/82 added to 103/4 is:

\frac{32}{82} + \frac{103}{4} = 26 \frac{2}{3} 164

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: