201/111 added to 3/2 in Fraction Form

The result of 201/111 added to 3/2 is: 3 23/74

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions $\frac{2}{0} 1111$ and $\frac{3}{2}$ .

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 111 and 2 is 222.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{2}{0} 1111$ to $\frac{402}{2} 22$
Convert $\frac{3}{2}$ to $\frac{333}{2} 22$

Step 4: Add the Numerators

Add the numerators: 402 + 333 = 735

Step 5: Simplify the Fraction

We can simplify $\frac{7}{3} 5222$ to its lowest form.
The greatest common divisor (GCD) of 735 and 222 is 3.
Dividing both numerator and denominator by the GCD, we get $\frac{2}{4} 574$ .

Step 6: Convert to Mixed Number

The fraction $\frac{2}{4} 574$ can be written as the mixed number $3 \frac{2}{3} 74$ .

Final Answer

The result of 201/111 added to 3/2 is:

\frac{201}{111} + \frac{3}{2} = 3 \frac{2}{3} 74

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).

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