30/32 subtracted by 2/3 in Fraction Form

The result of 30/32 subtracted by 2/3 is: 13/48

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction $\frac{2}{3}$ from $\frac{3}{0} 32$ .

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 $\frac{3}{0} 32$ to $\frac{90}{9} 6$
Convert $\frac{2}{3}$ to $\frac{64}{9} 6$

Step 4: Subtract the Numerators

Subtract the numerators: 90 - 64 = 26

Step 5: Simplify the Fraction

We can simplify $\frac{2}{6} 96$ to its lowest form.
The greatest common divisor (GCD) of 26 and 96 is 2.
Dividing both numerator and denominator by the GCD, we get $\frac{1}{3} 48$ .

Final Answer

The result of 30/32 subtracted by 2/3 is:

\frac{30}{32} - \frac{2}{3} = \frac{1}{3} 48

Understanding Fraction Subtraction

How to Subtract Fractions

To subtract fractions, you need to ensure they have a common denominator. Then subtract the numerators:

$\frac{a}{b} - \frac{c}{d} = \frac{a d - b c}{b d}$ (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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