3/22 added to 20/2 in Fraction Form

The result of 3/22 added to 20/2 is: 10 3/22

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions \(\frac322\) and \(\frac202\).

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 22 and 2 is 22.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac322\) to \(\frac{3}22\)
Convert \(\frac202\) to \(\frac{220}22\)

Step 4: Add the Numerators

Add the numerators: 3 + 220 = 223

Step 5: Convert to Mixed Number

The fraction \(\frac22322\) can be written as the mixed number \(10\frac322\).

Final Answer

The result of 3/22 added to 20/2 is:

\[ \frac{3}{22} + \frac{20}{2} = 10\frac322 \]

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: