8/59 subtracted by 3/2 in Fraction Form

The result of 8/59 subtracted by 3/2 is: -2 75/118

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac32\) from \(\frac859\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 59 and 2 is 118.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac859\) to \(\frac{16}118\)
Convert \(\frac32\) to \(\frac{177}118\)

Step 4: Subtract the Numerators

Subtract the numerators: 16 - 177 = -161

Step 5: Convert to Mixed Number

The fraction \(\frac-161118\) can be written as the mixed number \(-2\frac75118\).

Final Answer

The result of 8/59 subtracted by 3/2 is:

\[ \frac{8}{59} - \frac{3}{2} = -2\frac75118 \]

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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