10/27 added to 13/2 in Fraction Form
The result of 10/27 added to 13/2 is: 6 47/54
Step-by-Step Solution
Step 1: Understand the Problem
We need to add the fractions \(\frac1027\) and \(\frac132\).
Step 2: Find the Least Common Multiple (LCM)
To add fractions, we need a common denominator. The LCM of 27 and 2 is 54.
Step 3: Convert Fractions to Equivalent Fractions
Convert \(\frac1027\) to \(\frac{20}54\)
Convert \(\frac132\) to \(\frac{351}54\)
Step 4: Add the Numerators
Add the numerators: 20 + 351 = 371
Step 5: Convert to Mixed Number
The fraction \(\frac37154\) can be written as the mixed number \(6\frac4754\).
Final Answer
The result of 10/27 added to 13/2 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: