81/77 subtracted by 185/4 in Fraction Form

The result of 81/77 subtracted by 185/4 is: -46 247/308

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac1854\) from \(\frac8177\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 77 and 4 is 308.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac8177\) to \(\frac{324}308\)
Convert \(\frac1854\) to \(\frac{14245}308\)

Step 4: Subtract the Numerators

Subtract the numerators: 324 - 14245 = -13921

Step 5: Convert to Mixed Number

The fraction \(\frac-13921308\) can be written as the mixed number \(-46\frac247308\).

Final Answer

The result of 81/77 subtracted by 185/4 is:

\[ \frac{81}{77} - \frac{185}{4} = -46\frac247308 \]

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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