67/14 added to 41/8 in Fraction Form

The result of 67/14 added to 41/8 is: 9 51/56

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions $\frac{6}{7} 14$ and $\frac{4}{1} 8$ .

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 14 and 8 is 56.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{6}{7} 14$ to $\frac{268}{5} 6$
Convert $\frac{4}{1} 8$ to $\frac{287}{5} 6$

Step 4: Add the Numerators

Add the numerators: 268 + 287 = 555

Step 5: Convert to Mixed Number

The fraction $\frac{5}{5} 556$ can be written as the mixed number $9 \frac{5}{1} 56$ .

Final Answer

The result of 67/14 added to 41/8 is:

\frac{67}{14} + \frac{41}{8} = 9 \frac{5}{1} 56

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: