3/39 subtracted by 9/2 in Fraction Form

The result of 3/39 subtracted by 9/2 is: -5 15/26

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction $\frac{9}{2}$ from $\frac{3}{3} 9$ .

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 39 and 2 is 78.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{3}{3} 9$ to $\frac{6}{7} 8$
Convert $\frac{9}{2}$ to $\frac{351}{7} 8$

Step 4: Subtract the Numerators

Subtract the numerators: 6 - 351 = -345

Step 5: Simplify the Fraction

We can simplify $\frac{-}{3} 4578$ to its lowest form.
The greatest common divisor (GCD) of -345 and 78 is 3.
Dividing both numerator and denominator by the GCD, we get $\frac{-}{1} 1526$ .

Step 6: Convert to Mixed Number

The fraction $\frac{-}{1} 1526$ can be written as the mixed number $- 5 \frac{1}{5} 26$ .

Final Answer

The result of 3/39 subtracted by 9/2 is:

\frac{3}{39} - \frac{9}{2} = - 5 \frac{1}{5} 26

Understanding Fraction Subtraction

How to Subtract Fractions

To subtract fractions, you need to ensure they have a common denominator. Then subtract 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).

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