3/32 subtracted by 5/6 in Fraction Form

The result of 3/32 subtracted by 5/6 is: -71/96

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac56\) from \(\frac332\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 32 and 6 is 96.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac332\) to \(\frac{9}96\)
Convert \(\frac56\) to \(\frac{80}96\)

Step 4: Subtract the Numerators

Subtract the numerators: 9 - 80 = -71

Final Answer

The result of 3/32 subtracted by 5/6 is:

\[ \frac{3}{32} - \frac{5}{6} = \frac-7196 \]

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).

Related Calculations

\( \frac{3}{32} \times \frac{5}{6} \)
Calculate
\( \frac{3}{32} + \frac{5}{6} \)
Calculate
\( \frac{3}{32} \div \frac{5}{6} \)
Calculate
\( \frac{4}{32} - \frac{5}{6} \)
Calculate
\( \frac{3}{32} - \frac{6}{6} \)
Calculate
\( \frac{3}{33} - \frac{5}{6} \)
Calculate
Try Another Calculation

Fraction Calculator

Calculate operations between any two fractions: