40/22 added to 5/3 in Fraction Form

The result of 40/22 added to 5/3 is: 3 16/33

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions $\frac{4}{0} 22$ and $\frac{5}{3}$ .

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 22 and 3 is 66.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{4}{0} 22$ to $\frac{120}{6} 6$
Convert $\frac{5}{3}$ to $\frac{110}{6} 6$

Step 4: Add the Numerators

Add the numerators: 120 + 110 = 230

Step 5: Simplify the Fraction

We can simplify $\frac{2}{3} 066$ to its lowest form.
The greatest common divisor (GCD) of 230 and 66 is 2.
Dividing both numerator and denominator by the GCD, we get $\frac{1}{1} 533$ .

Step 6: Convert to Mixed Number

The fraction $\frac{1}{1} 533$ can be written as the mixed number $3 \frac{1}{6} 33$ .

Final Answer

The result of 40/22 added to 5/3 is:

\frac{40}{22} + \frac{5}{3} = 3 \frac{1}{6} 33

Understanding Fraction Addition

How to Add Fractions

To add fractions, you need to ensure they have a common denominator. Then add the numerators:

$\frac{a}{b} + \frac{c}{d} = \frac{a d + b c}{b d}$ (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: