10/6 added to 5/6 in Fraction Form

The result of 10/6 added to 5/6 is: 2 1/2

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions \(\frac106\) and \(\frac56\).

Step 2: Add the Numerators (Same Denominator)

Since the denominators are the same, we can directly add the numerators: 10 + 5 = 15

Step 3: Simplify the Fraction

We can simplify \(\frac156\) to its lowest form.
The greatest common divisor (GCD) of 15 and 6 is 3.
Dividing both numerator and denominator by the GCD, we get \(\frac52\).

Step 4: Convert to Mixed Number

The fraction \(\frac52\) can be written as the mixed number \(2\frac12\).

Final Answer

The result of 10/6 added to 5/6 is:

\[ \frac{10}{6} + \frac{5}{6} = 2\frac12 \]

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: