76/238 subtracted by 69/3 in Fraction Form

The result of 76/238 subtracted by 69/3 is: -23 38/119

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac693\) from \(\frac76238\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 238 and 3 is 714.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac76238\) to \(\frac{228}714\)
Convert \(\frac693\) to \(\frac{16422}714\)

Step 4: Subtract the Numerators

Subtract the numerators: 228 - 16422 = -16194

Step 5: Simplify the Fraction

We can simplify \(\frac-16194714\) to its lowest form.
The greatest common divisor (GCD) of -16194 and 714 is 6.
Dividing both numerator and denominator by the GCD, we get \(\frac-2699119\).

Step 6: Convert to Mixed Number

The fraction \(\frac-2699119\) can be written as the mixed number \(-23\frac38119\).

Final Answer

The result of 76/238 subtracted by 69/3 is:

\[ \frac{76}{238} - \frac{69}{3} = -23\frac38119 \]

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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