32/359 subtracted by 8/4 in Fraction Form

The result of 32/359 subtracted by 8/4 is: -2 32/359

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac84\) from \(\frac32359\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 359 and 4 is 1436.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac32359\) to \(\frac{128}1436\)
Convert \(\frac84\) to \(\frac{2872}1436\)

Step 4: Subtract the Numerators

Subtract the numerators: 128 - 2872 = -2744

Step 5: Simplify the Fraction

We can simplify \(\frac-27441436\) to its lowest form.
The greatest common divisor (GCD) of -2744 and 1436 is 4.
Dividing both numerator and denominator by the GCD, we get \(\frac-686359\).

Step 6: Convert to Mixed Number

The fraction \(\frac-686359\) can be written as the mixed number \(-2\frac32359\).

Final Answer

The result of 32/359 subtracted by 8/4 is:

\[ \frac{32}{359} - \frac{8}{4} = -2\frac32359 \]

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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