26/11 added to 25/8 in Fraction Form

The result of 26/11 added to 25/8 is: 5 43/88

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions \(\frac2611\) and \(\frac258\).

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 11 and 8 is 88.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac2611\) to \(\frac{208}88\)
Convert \(\frac258\) to \(\frac{275}88\)

Step 4: Add the Numerators

Add the numerators: 208 + 275 = 483

Step 5: Convert to Mixed Number

The fraction \(\frac48388\) can be written as the mixed number \(5\frac4388\).

Final Answer

The result of 26/11 added to 25/8 is:

\[ \frac{26}{11} + \frac{25}{8} = 5\frac4388 \]

Understanding Fraction Addition

How to Add Fractions

To add fractions, you need to ensure they have a common denominator. Then add the numerators:

\( \frac{a}{b} + \frac{c}{d} = \frac{ad + bc}{bd} \) (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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