28/11 added to 29/8 in Fraction Form
The result of 28/11 added to 29/8 is: 6 15/88
Step-by-Step Solution
Step 1: Understand the Problem
We need to add the fractions \(\frac2811\) and \(\frac298\).
Step 2: Find the Least Common Multiple (LCM)
To add fractions, we need a common denominator. The LCM of 11 and 8 is 88.
Step 3: Convert Fractions to Equivalent Fractions
Convert \(\frac2811\) to \(\frac{224}88\)
Convert \(\frac298\) to \(\frac{319}88\)
Step 4: Add the Numerators
Add the numerators: 224 + 319 = 543
Step 5: Convert to Mixed Number
The fraction \(\frac54388\) can be written as the mixed number \(6\frac1588\).
Final Answer
The result of 28/11 added to 29/8 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
Calculate operations between any two fractions: