135/47 added to 102/6 in Fraction Form

The result of 135/47 added to 102/6 is: 19 41/47

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions $\frac{1}{3} 547$ and $\frac{1}{0} 26$ .

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 47 and 6 is 282.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{1}{3} 547$ to $\frac{810}{2} 82$
Convert $\frac{1}{0} 26$ to $\frac{4794}{2} 82$

Step 4: Add the Numerators

Add the numerators: 810 + 4794 = 5604

Step 5: Simplify the Fraction

We can simplify $\frac{5}{6} 04282$ to its lowest form.
The greatest common divisor (GCD) of 5604 and 282 is 6.
Dividing both numerator and denominator by the GCD, we get $\frac{9}{3} 447$ .

Step 6: Convert to Mixed Number

The fraction $\frac{9}{3} 447$ can be written as the mixed number $19 \frac{4}{1} 47$ .

Final Answer

The result of 135/47 added to 102/6 is:

\frac{135}{47} + \frac{102}{6} = 19 \frac{4}{1} 47

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: