6/93 added to 185/4 in Fraction Form

The result of 6/93 added to 185/4 is: 46 39/124

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions $\frac{6}{9} 3$ and $\frac{1}{8} 54$ .

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 93 and 4 is 372.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{6}{9} 3$ to $\frac{24}{3} 72$
Convert $\frac{1}{8} 54$ to $\frac{17205}{3} 72$

Step 4: Add the Numerators

Add the numerators: 24 + 17205 = 17229

Step 5: Simplify the Fraction

We can simplify $\frac{1}{7} 229372$ to its lowest form.
The greatest common divisor (GCD) of 17229 and 372 is 3.
Dividing both numerator and denominator by the GCD, we get $\frac{5}{7} 43124$ .

Step 6: Convert to Mixed Number

The fraction $\frac{5}{7} 43124$ can be written as the mixed number $46 \frac{3}{9} 124$ .

Final Answer

The result of 6/93 added to 185/4 is:

\frac{6}{93} + \frac{185}{4} = 46 \frac{3}{9} 124

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: