153/27 added to 128/3 in Fraction Form

The result of 153/27 added to 128/3 is: 48 1/3

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions $\frac{1}{5} 327$ and $\frac{1}{2} 83$ .

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 27 and 3 is 27.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{1}{5} 327$ to $\frac{153}{2} 7$
Convert $\frac{1}{2} 83$ to $\frac{1152}{2} 7$

Step 4: Add the Numerators

Add the numerators: 153 + 1152 = 1305

Step 5: Simplify the Fraction

We can simplify $\frac{1}{3} 0527$ to its lowest form.
The greatest common divisor (GCD) of 1305 and 27 is 9.
Dividing both numerator and denominator by the GCD, we get $\frac{1}{4} 53$ .

Step 6: Convert to Mixed Number

The fraction $\frac{1}{4} 53$ can be written as the mixed number $48 \frac{1}{3}$ .

Final Answer

The result of 153/27 added to 128/3 is:

\frac{153}{27} + \frac{128}{3} = 48 \frac{1}{3}

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: