127/77 added to 23/6 in Fraction Form
The result of 127/77 added to 23/6 is: 5 223/462
Step-by-Step Solution
Step 1: Understand the Problem
We need to add the fractions \(\frac12777\) and \(\frac236\).
Step 2: Find the Least Common Multiple (LCM)
To add fractions, we need a common denominator. The LCM of 77 and 6 is 462.
Step 3: Convert Fractions to Equivalent Fractions
Convert \(\frac12777\) to \(\frac{762}462\)
Convert \(\frac236\) to \(\frac{1771}462\)
Step 4: Add the Numerators
Add the numerators: 762 + 1771 = 2533
Step 5: Convert to Mixed Number
The fraction \(\frac2533462\) can be written as the mixed number \(5\frac223462\).
Final Answer
The result of 127/77 added to 23/6 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
Calculate operations between any two fractions: