2/32 subtracted by 16/3 in Fraction Form

The result of 2/32 subtracted by 16/3 is: -6 35/48

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac163\) from \(\frac232\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 32 and 3 is 96.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac232\) to \(\frac{6}96\)
Convert \(\frac163\) to \(\frac{512}96\)

Step 4: Subtract the Numerators

Subtract the numerators: 6 - 512 = -506

Step 5: Simplify the Fraction

We can simplify \(\frac-50696\) to its lowest form.
The greatest common divisor (GCD) of -506 and 96 is 2.
Dividing both numerator and denominator by the GCD, we get \(\frac-25348\).

Step 6: Convert to Mixed Number

The fraction \(\frac-25348\) can be written as the mixed number \(-6\frac3548\).

Final Answer

The result of 2/32 subtracted by 16/3 is:

\[ \frac{2}{32} - \frac{16}{3} = -6\frac3548 \]

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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