41/166 added to 101/3 in Fraction Form

The result of 41/166 added to 101/3 is: 33 455/498

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions $\frac{4}{1} 166$ and $\frac{1}{0} 13$ .

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 166 and 3 is 498.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{4}{1} 166$ to $\frac{123}{4} 98$
Convert $\frac{1}{0} 13$ to $\frac{16766}{4} 98$

Step 4: Add the Numerators

Add the numerators: 123 + 16766 = 16889

Step 5: Convert to Mixed Number

The fraction $\frac{1}{6} 889498$ can be written as the mixed number $33 \frac{4}{5} 5498$ .

Final Answer

The result of 41/166 added to 101/3 is:

\frac{41}{166} + \frac{101}{3} = 33 \frac{4}{5} 5498

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: