6/20 added to 49/4 in Fraction Form

The result of 6/20 added to 49/4 is: 12 11/20

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions $\frac{6}{2} 0$ and $\frac{4}{9} 4$ .

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 20 and 4 is 20.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{6}{2} 0$ to $\frac{6}{2} 0$
Convert $\frac{4}{9} 4$ to $\frac{245}{2} 0$

Step 4: Add the Numerators

Add the numerators: 6 + 245 = 251

Step 5: Convert to Mixed Number

The fraction $\frac{2}{5} 120$ can be written as the mixed number $12 \frac{1}{1} 20$ .

Final Answer

The result of 6/20 added to 49/4 is:

\frac{6}{20} + \frac{49}{4} = 12 \frac{1}{1} 20

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: