67/197 added to 12/6 in Fraction Form

The result of 67/197 added to 12/6 is: 2 67/197

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions $\frac{6}{7} 197$ and $\frac{1}{2} 6$ .

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 197 and 6 is 1182.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{6}{7} 197$ to $\frac{402}{1} 182$
Convert $\frac{1}{2} 6$ to $\frac{2364}{1} 182$

Step 4: Add the Numerators

Add the numerators: 402 + 2364 = 2766

Step 5: Simplify the Fraction

We can simplify $\frac{2}{7} 661182$ to its lowest form.
The greatest common divisor (GCD) of 2766 and 1182 is 6.
Dividing both numerator and denominator by the GCD, we get $\frac{4}{6} 1197$ .

Step 6: Convert to Mixed Number

The fraction $\frac{4}{6} 1197$ can be written as the mixed number $2 \frac{6}{7} 197$ .

Final Answer

The result of 67/197 added to 12/6 is:

\frac{67}{197} + \frac{12}{6} = 2 \frac{6}{7} 197

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).

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