213/66 added to 1/4 in Fraction Form

The result of 213/66 added to 1/4 is: 3 21/44

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions $\frac{2}{1} 366$ and $\frac{1}{4}$ .

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 66 and 4 is 132.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{2}{1} 366$ to $\frac{426}{1} 32$
Convert $\frac{1}{4}$ to $\frac{33}{1} 32$

Step 4: Add the Numerators

Add the numerators: 426 + 33 = 459

Step 5: Simplify the Fraction

We can simplify $\frac{4}{5} 9132$ to its lowest form.
The greatest common divisor (GCD) of 459 and 132 is 3.
Dividing both numerator and denominator by the GCD, we get $\frac{1}{5} 344$ .

Step 6: Convert to Mixed Number

The fraction $\frac{1}{5} 344$ can be written as the mixed number $3 \frac{2}{1} 44$ .

Final Answer

The result of 213/66 added to 1/4 is:

\frac{213}{66} + \frac{1}{4} = 3 \frac{2}{1} 44

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: