41/71 added to 53/2 in Fraction Form

The result of 41/71 added to 53/2 is: 27 11/142

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions $\frac{4}{1} 71$ and $\frac{5}{3} 2$ .

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 71 and 2 is 142.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{4}{1} 71$ to $\frac{82}{1} 42$
Convert $\frac{5}{3} 2$ to $\frac{3763}{1} 42$

Step 4: Add the Numerators

Add the numerators: 82 + 3763 = 3845

Step 5: Convert to Mixed Number

The fraction $\frac{3}{8} 45142$ can be written as the mixed number $27 \frac{1}{1} 142$ .

Final Answer

The result of 41/71 added to 53/2 is:

\frac{41}{71} + \frac{53}{2} = 27 \frac{1}{1} 142

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: