67/65 added to 67/6 in Fraction Form

The result of 67/65 added to 67/6 is: 12 77/390

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions $\frac{6}{7} 65$ and $\frac{6}{7} 6$ .

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 65 and 6 is 390.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{6}{7} 65$ to $\frac{402}{3} 90$
Convert $\frac{6}{7} 6$ to $\frac{4355}{3} 90$

Step 4: Add the Numerators

Add the numerators: 402 + 4355 = 4757

Step 5: Convert to Mixed Number

The fraction $\frac{4}{7} 57390$ can be written as the mixed number $12 \frac{7}{7} 390$ .

Final Answer

The result of 67/65 added to 67/6 is:

\frac{67}{65} + \frac{67}{6} = 12 \frac{7}{7} 390

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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