269/216 subtracted by 20/2 in Fraction Form

The result of 269/216 subtracted by 20/2 is: -9 53/216

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac202\) from \(\frac269216\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 216 and 2 is 216.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac269216\) to \(\frac{269}216\)
Convert \(\frac202\) to \(\frac{2160}216\)

Step 4: Subtract the Numerators

Subtract the numerators: 269 - 2160 = -1891

Step 5: Convert to Mixed Number

The fraction \(\frac-1891216\) can be written as the mixed number \(-9\frac53216\).

Final Answer

The result of 269/216 subtracted by 20/2 is:

\[ \frac{269}{216} - \frac{20}{2} = -9\frac53216 \]

Understanding Fraction Subtraction

How to Subtract Fractions

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

\( \frac{a}{b} - \frac{c}{d} = \frac{ad - bc}{bd} \) (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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