11/51 subtracted by 24/4 in Fraction Form

The result of 11/51 subtracted by 24/4 is: -6 11/51

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction $\frac{2}{4} 4$ from $\frac{1}{1} 51$ .

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 51 and 4 is 204.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{1}{1} 51$ to $\frac{44}{2} 04$
Convert $\frac{2}{4} 4$ to $\frac{1224}{2} 04$

Step 4: Subtract the Numerators

Subtract the numerators: 44 - 1224 = -1180

Step 5: Simplify the Fraction

We can simplify $\frac{-}{1} 180204$ to its lowest form.
The greatest common divisor (GCD) of -1180 and 204 is 4.
Dividing both numerator and denominator by the GCD, we get $\frac{-}{2} 9551$ .

Step 6: Convert to Mixed Number

The fraction $\frac{-}{2} 9551$ can be written as the mixed number $- 6 \frac{1}{1} 51$ .

Final Answer

The result of 11/51 subtracted by 24/4 is:

\frac{11}{51} - \frac{24}{4} = - 6 \frac{1}{1} 51

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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