21/48 subtracted by 9/4 in Fraction Form

The result of 21/48 subtracted by 9/4 is: -2 3/16

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction $\frac{9}{4}$ from $\frac{2}{1} 48$ .

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 48 and 4 is 48.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{2}{1} 48$ to $\frac{21}{4} 8$
Convert $\frac{9}{4}$ to $\frac{108}{4} 8$

Step 4: Subtract the Numerators

Subtract the numerators: 21 - 108 = -87

Step 5: Simplify the Fraction

We can simplify $\frac{-}{8} 748$ to its lowest form.
The greatest common divisor (GCD) of -87 and 48 is 3.
Dividing both numerator and denominator by the GCD, we get $\frac{-}{2} 916$ .

Step 6: Convert to Mixed Number

The fraction $\frac{-}{2} 916$ can be written as the mixed number $- 2 \frac{3}{1} 6$ .

Final Answer

The result of 21/48 subtracted by 9/4 is:

\frac{21}{48} - \frac{9}{4} = - 2 \frac{3}{1} 6

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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