3/109 added to 7/3 in Fraction Form

The result of 3/109 added to 7/3 is: 2 118/327

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions \(\frac3109\) and \(\frac73\).

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 109 and 3 is 327.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac3109\) to \(\frac{9}327\)
Convert \(\frac73\) to \(\frac{763}327\)

Step 4: Add the Numerators

Add the numerators: 9 + 763 = 772

Step 5: Convert to Mixed Number

The fraction \(\frac772327\) can be written as the mixed number \(2\frac118327\).

Final Answer

The result of 3/109 added to 7/3 is:

\[ \frac{3}{109} + \frac{7}{3} = 2\frac118327 \]

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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