5/139 added to 11/3 in Fraction Form

The result of 5/139 added to 11/3 is: 3 293/417

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions $\frac{5}{1} 39$ and $\frac{1}{1} 3$ .

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 139 and 3 is 417.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{5}{1} 39$ to $\frac{15}{4} 17$
Convert $\frac{1}{1} 3$ to $\frac{1529}{4} 17$

Step 4: Add the Numerators

Add the numerators: 15 + 1529 = 1544

Step 5: Convert to Mixed Number

The fraction $\frac{1}{5} 44417$ can be written as the mixed number $3 \frac{2}{9} 3417$ .

Final Answer

The result of 5/139 added to 11/3 is:

\frac{5}{139} + \frac{11}{3} = 3 \frac{2}{9} 3417

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: