135/12 added to 171/2 in Fraction Form

The result of 135/12 added to 171/2 is: 96 3/4

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions $\frac{1}{3} 512$ and $\frac{1}{7} 12$ .

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 12 and 2 is 12.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{1}{3} 512$ to $\frac{135}{1} 2$
Convert $\frac{1}{7} 12$ to $\frac{1026}{1} 2$

Step 4: Add the Numerators

Add the numerators: 135 + 1026 = 1161

Step 5: Simplify the Fraction

We can simplify $\frac{1}{1} 6112$ to its lowest form.
The greatest common divisor (GCD) of 1161 and 12 is 3.
Dividing both numerator and denominator by the GCD, we get $\frac{3}{8} 74$ .

Step 6: Convert to Mixed Number

The fraction $\frac{3}{8} 74$ can be written as the mixed number $96 \frac{3}{4}$ .

Final Answer

The result of 135/12 added to 171/2 is:

\frac{135}{12} + \frac{171}{2} = 96 \frac{3}{4}

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: