1/17 added to 49/3 in Fraction Form

The result of 1/17 added to 49/3 is: 16 20/51

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions \(\frac117\) and \(\frac493\).

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 17 and 3 is 51.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac117\) to \(\frac{3}51\)
Convert \(\frac493\) to \(\frac{833}51\)

Step 4: Add the Numerators

Add the numerators: 3 + 833 = 836

Step 5: Convert to Mixed Number

The fraction \(\frac83651\) can be written as the mixed number \(16\frac2051\).

Final Answer

The result of 1/17 added to 49/3 is:

\[ \frac{1}{17} + \frac{49}{3} = 16\frac2051 \]

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).

Fraction Calculator

Calculate operations between any two fractions: