72/139 added to 133/4 in Fraction Form

The result of 72/139 added to 133/4 is: 33 427/556

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions $\frac{7}{2} 139$ and $\frac{1}{3} 34$ .

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 139 and 4 is 556.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{7}{2} 139$ to $\frac{288}{5} 56$
Convert $\frac{1}{3} 34$ to $\frac{18487}{5} 56$

Step 4: Add the Numerators

Add the numerators: 288 + 18487 = 18775

Step 5: Convert to Mixed Number

The fraction $\frac{1}{8} 775556$ can be written as the mixed number $33 \frac{4}{2} 7556$ .

Final Answer

The result of 72/139 added to 133/4 is:

\frac{72}{139} + \frac{133}{4} = 33 \frac{4}{2} 7556

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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