127/6 added to 197/6 in Fraction Form

The result of 127/6 added to 197/6 is: 54

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions \(\frac1276\) and \(\frac1976\).

Step 2: Add the Numerators (Same Denominator)

Since the denominators are the same, we can directly add the numerators: 127 + 197 = 324

Step 3: Simplify the Fraction

We can simplify \(\frac3246\) to its lowest form.
The greatest common divisor (GCD) of 324 and 6 is 6.
Dividing both numerator and denominator by the GCD, we get \(\frac541\).

Final Answer

The result of 127/6 added to 197/6 is:

\[ \frac{127}{6} + \frac{197}{6} = 54 \]

Understanding Fraction Addition

How to Add Fractions

To add fractions, you need to ensure they have a common denominator. Then add the numerators:

\( \frac{a}{b} + \frac{c}{d} = \frac{ad + bc}{bd} \) (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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