11/144 added to 127/2 in Fraction Form

The result of 11/144 added to 127/2 is: 63 83/144

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions $\frac{1}{1} 144$ and $\frac{1}{2} 72$ .

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 144 and 2 is 144.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{1}{1} 144$ to $\frac{11}{1} 44$
Convert $\frac{1}{2} 72$ to $\frac{9144}{1} 44$

Step 4: Add the Numerators

Add the numerators: 11 + 9144 = 9155

Step 5: Convert to Mixed Number

The fraction $\frac{9}{1} 55144$ can be written as the mixed number $63 \frac{8}{3} 144$ .

Final Answer

The result of 11/144 added to 127/2 is:

\frac{11}{144} + \frac{127}{2} = 63 \frac{8}{3} 144

Understanding Fraction Addition

How to Add Fractions

To add fractions, you need to ensure they have a common denominator. Then add the numerators:

$\frac{a}{b} + \frac{c}{d} = \frac{a d + b c}{b d}$ (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: