31/9 subtracted by 16/4 in Fraction Form

The result of 31/9 subtracted by 16/4 is: -5/9

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction $\frac{1}{6} 4$ 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 4 is 36.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{3}{1} 9$ to $\frac{124}{3} 6$
Convert $\frac{1}{6} 4$ to $\frac{144}{3} 6$

Step 4: Subtract the Numerators

Subtract the numerators: 124 - 144 = -20

Step 5: Simplify the Fraction

We can simplify $\frac{-}{2} 036$ to its lowest form.
The greatest common divisor (GCD) of -20 and 36 is 4.
Dividing both numerator and denominator by the GCD, we get $\frac{-}{5} 9$ .

Final Answer

The result of 31/9 subtracted by 16/4 is:

\frac{31}{9} - \frac{16}{4} = \frac{-}{5} 9

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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