21/223 added to 45/3 in Fraction Form

The result of 21/223 added to 45/3 is: 15 21/223

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions $\frac{2}{1} 223$ and $\frac{4}{5} 3$ .

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 223 and 3 is 669.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{2}{1} 223$ to $\frac{63}{6} 69$
Convert $\frac{4}{5} 3$ to $\frac{10035}{6} 69$

Step 4: Add the Numerators

Add the numerators: 63 + 10035 = 10098

Step 5: Simplify the Fraction

We can simplify $\frac{1}{0} 098669$ to its lowest form.
The greatest common divisor (GCD) of 10098 and 669 is 3.
Dividing both numerator and denominator by the GCD, we get $\frac{3}{3} 66223$ .

Step 6: Convert to Mixed Number

The fraction $\frac{3}{3} 66223$ can be written as the mixed number $15 \frac{2}{1} 223$ .

Final Answer

The result of 21/223 added to 45/3 is:

\frac{21}{223} + \frac{45}{3} = 15 \frac{2}{1} 223

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: