64/23 added to 19/2 in Fraction Form

The result of 64/23 added to 19/2 is: 12 13/46

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions \(\frac6423\) and \(\frac192\).

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 23 and 2 is 46.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac6423\) to \(\frac{128}46\)
Convert \(\frac192\) to \(\frac{437}46\)

Step 4: Add the Numerators

Add the numerators: 128 + 437 = 565

Step 5: Convert to Mixed Number

The fraction \(\frac56546\) can be written as the mixed number \(12\frac1346\).

Final Answer

The result of 64/23 added to 19/2 is:

\[ \frac{64}{23} + \frac{19}{2} = 12\frac1346 \]

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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