17/6 added to 29/6 in Fraction Form
The result of 17/6 added to 29/6 is: 7 2/3
Step-by-Step Solution
Step 1: Understand the Problem
We need to add the fractions \(\frac176\) and \(\frac296\).
Step 2: Add the Numerators (Same Denominator)
Since the denominators are the same, we can directly add the numerators: 17 + 29 = 46
Step 3: Simplify the Fraction
We can simplify \(\frac466\) to its lowest form.
The greatest common divisor (GCD) of 46 and 6 is 2.
Dividing both numerator and denominator by the GCD, we get \(\frac233\).
Step 4: Convert to Mixed Number
The fraction \(\frac233\) can be written as the mixed number \(7\frac23\).
Final Answer
The result of 17/6 added to 29/6 is:
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).
Fraction Calculator
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