31/9 subtracted by 9/2 in Fraction Form

The result of 31/9 subtracted by 9/2 is: -2 17/18

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction $\frac{9}{2}$ from $\frac{3}{1} 9$ .

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 9 and 2 is 18.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{3}{1} 9$ to $\frac{62}{1} 8$
Convert $\frac{9}{2}$ to $\frac{81}{1} 8$

Step 4: Subtract the Numerators

Subtract the numerators: 62 - 81 = -19

Step 5: Convert to Mixed Number

The fraction $\frac{-}{1} 918$ can be written as the mixed number $- 2 \frac{1}{7} 18$ .

Final Answer

The result of 31/9 subtracted by 9/2 is:

\frac{31}{9} - \frac{9}{2} = - 2 \frac{1}{7} 18

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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