23/19 subtracted by 24/3 in Fraction Form

The result of 23/19 subtracted by 24/3 is: -7 4/19

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction $\frac{2}{4} 3$ from $\frac{2}{3} 19$ .

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 19 and 3 is 57.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{2}{3} 19$ to $\frac{69}{5} 7$
Convert $\frac{2}{4} 3$ to $\frac{456}{5} 7$

Step 4: Subtract the Numerators

Subtract the numerators: 69 - 456 = -387

Step 5: Simplify the Fraction

We can simplify $\frac{-}{3} 8757$ to its lowest form.
The greatest common divisor (GCD) of -387 and 57 is 3.
Dividing both numerator and denominator by the GCD, we get $\frac{-}{1} 2919$ .

Step 6: Convert to Mixed Number

The fraction $\frac{-}{1} 2919$ can be written as the mixed number $- 7 \frac{4}{1} 9$ .

Final Answer

The result of 23/19 subtracted by 24/3 is:

\frac{23}{19} - \frac{24}{3} = - 7 \frac{4}{1} 9

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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