8/6 added to 40/2 in Fraction Form

The result of 8/6 added to 40/2 is: 21 1/3

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions \(\frac86\) and \(\frac402\).

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 6 and 2 is 6.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac86\) to \(\frac{8}6\)
Convert \(\frac402\) to \(\frac{120}6\)

Step 4: Add the Numerators

Add the numerators: 8 + 120 = 128

Step 5: Simplify the Fraction

We can simplify \(\frac1286\) to its lowest form.
The greatest common divisor (GCD) of 128 and 6 is 2.
Dividing both numerator and denominator by the GCD, we get \(\frac643\).

Step 6: Convert to Mixed Number

The fraction \(\frac643\) can be written as the mixed number \(21\frac13\).

Final Answer

The result of 8/6 added to 40/2 is:

\[ \frac{8}{6} + \frac{40}{2} = 21\frac13 \]

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: