78/201 added to 28/4 in Fraction Form

The result of 78/201 added to 28/4 is: 7 26/67

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions $\frac{7}{8} 201$ and $\frac{2}{8} 4$ .

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 201 and 4 is 804.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{7}{8} 201$ to $\frac{312}{8} 04$
Convert $\frac{2}{8} 4$ to $\frac{5628}{8} 04$

Step 4: Add the Numerators

Add the numerators: 312 + 5628 = 5940

Step 5: Simplify the Fraction

We can simplify $\frac{5}{9} 40804$ to its lowest form.
The greatest common divisor (GCD) of 5940 and 804 is 12.
Dividing both numerator and denominator by the GCD, we get $\frac{4}{9} 567$ .

Step 6: Convert to Mixed Number

The fraction $\frac{4}{9} 567$ can be written as the mixed number $7 \frac{2}{6} 67$ .

Final Answer

The result of 78/201 added to 28/4 is:

\frac{78}{201} + \frac{28}{4} = 7 \frac{2}{6} 67

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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