4/19 added to 16/3 in Fraction Form

The result of 4/19 added to 16/3 is: 5 31/57

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions \(\frac419\) and \(\frac163\).

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 19 and 3 is 57.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac419\) to \(\frac{12}57\)
Convert \(\frac163\) to \(\frac{304}57\)

Step 4: Add the Numerators

Add the numerators: 12 + 304 = 316

Step 5: Convert to Mixed Number

The fraction \(\frac31657\) can be written as the mixed number \(5\frac3157\).

Final Answer

The result of 4/19 added to 16/3 is:

\[ \frac{4}{19} + \frac{16}{3} = 5\frac3157 \]

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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