18/329 subtracted by 16/4 in Fraction Form

The result of 18/329 subtracted by 16/4 is: -4 18/329

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac164\) from \(\frac18329\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 329 and 4 is 1316.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac18329\) to \(\frac{72}1316\)
Convert \(\frac164\) to \(\frac{5264}1316\)

Step 4: Subtract the Numerators

Subtract the numerators: 72 - 5264 = -5192

Step 5: Simplify the Fraction

We can simplify \(\frac-51921316\) to its lowest form.
The greatest common divisor (GCD) of -5192 and 1316 is 4.
Dividing both numerator and denominator by the GCD, we get \(\frac-1298329\).

Step 6: Convert to Mixed Number

The fraction \(\frac-1298329\) can be written as the mixed number \(-4\frac18329\).

Final Answer

The result of 18/329 subtracted by 16/4 is:

\[ \frac{18}{329} - \frac{16}{4} = -4\frac18329 \]

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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