18/21 subtracted by 32/4 in Fraction Form

The result of 18/21 subtracted by 32/4 is: -8 6/7

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction $\frac{3}{2} 4$ from $\frac{1}{8} 21$ .

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 21 and 4 is 84.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{1}{8} 21$ to $\frac{72}{8} 4$
Convert $\frac{3}{2} 4$ to $\frac{672}{8} 4$

Step 4: Subtract the Numerators

Subtract the numerators: 72 - 672 = -600

Step 5: Simplify the Fraction

We can simplify $\frac{-}{6} 0084$ to its lowest form.
The greatest common divisor (GCD) of -600 and 84 is 12.
Dividing both numerator and denominator by the GCD, we get $\frac{-}{5} 07$ .

Step 6: Convert to Mixed Number

The fraction $\frac{-}{5} 07$ can be written as the mixed number $- 8 \frac{6}{7}$ .

Final Answer

The result of 18/21 subtracted by 32/4 is:

\frac{18}{21} - \frac{32}{4} = - 8 \frac{6}{7}

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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