13/144 added to 8/4 in Fraction Form

The result of 13/144 added to 8/4 is: 2 13/144

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions \(\frac13144\) and \(\frac84\).

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 144 and 4 is 144.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac13144\) to \(\frac{13}144\)
Convert \(\frac84\) to \(\frac{288}144\)

Step 4: Add the Numerators

Add the numerators: 13 + 288 = 301

Step 5: Convert to Mixed Number

The fraction \(\frac301144\) can be written as the mixed number \(2\frac13144\).

Final Answer

The result of 13/144 added to 8/4 is:

\[ \frac{13}{144} + \frac{8}{4} = 2\frac13144 \]

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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