22/324 subtracted by 83/3 in Fraction Form

The result of 22/324 subtracted by 83/3 is: -28 65/162

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac833\) from \(\frac22324\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 324 and 3 is 324.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac22324\) to \(\frac{22}324\)
Convert \(\frac833\) to \(\frac{8964}324\)

Step 4: Subtract the Numerators

Subtract the numerators: 22 - 8964 = -8942

Step 5: Simplify the Fraction

We can simplify \(\frac-8942324\) to its lowest form.
The greatest common divisor (GCD) of -8942 and 324 is 2.
Dividing both numerator and denominator by the GCD, we get \(\frac-4471162\).

Step 6: Convert to Mixed Number

The fraction \(\frac-4471162\) can be written as the mixed number \(-28\frac65162\).

Final Answer

The result of 22/324 subtracted by 83/3 is:

\[ \frac{22}{324} - \frac{83}{3} = -28\frac65162 \]

Understanding Fraction Subtraction

How to Subtract Fractions

To subtract fractions, you need to ensure they have a common denominator. Then subtract the numerators:

\( \frac{a}{b} - \frac{c}{d} = \frac{ad - bc}{bd} \) (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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