21/73 added to 48/6 in Fraction Form

The result of 21/73 added to 48/6 is: 8 21/73

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions $\frac{2}{1} 73$ and $\frac{4}{8} 6$ .

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 73 and 6 is 438.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{2}{1} 73$ to $\frac{126}{4} 38$
Convert $\frac{4}{8} 6$ to $\frac{3504}{4} 38$

Step 4: Add the Numerators

Add the numerators: 126 + 3504 = 3630

Step 5: Simplify the Fraction

We can simplify $\frac{3}{6} 30438$ to its lowest form.
The greatest common divisor (GCD) of 3630 and 438 is 6.
Dividing both numerator and denominator by the GCD, we get $\frac{6}{0} 573$ .

Step 6: Convert to Mixed Number

The fraction $\frac{6}{0} 573$ can be written as the mixed number $8 \frac{2}{1} 73$ .

Final Answer

The result of 21/73 added to 48/6 is:

\frac{21}{73} + \frac{48}{6} = 8 \frac{2}{1} 73

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: