38/17 added to 27/8 in Fraction Form

The result of 38/17 added to 27/8 is: 5 83/136

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions $\frac{3}{8} 17$ and $\frac{2}{7} 8$ .

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 17 and 8 is 136.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{3}{8} 17$ to $\frac{304}{1} 36$
Convert $\frac{2}{7} 8$ to $\frac{459}{1} 36$

Step 4: Add the Numerators

Add the numerators: 304 + 459 = 763

Step 5: Convert to Mixed Number

The fraction $\frac{7}{6} 3136$ can be written as the mixed number $5 \frac{8}{3} 136$ .

Final Answer

The result of 38/17 added to 27/8 is:

\frac{38}{17} + \frac{27}{8} = 5 \frac{8}{3} 136

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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