78/99 subtracted by 3/2 in Fraction Form

The result of 78/99 subtracted by 3/2 is: -47/66

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac32\) from \(\frac7899\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 99 and 2 is 198.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac7899\) to \(\frac{156}198\)
Convert \(\frac32\) to \(\frac{297}198\)

Step 4: Subtract the Numerators

Subtract the numerators: 156 - 297 = -141

Step 5: Simplify the Fraction

We can simplify \(\frac-141198\) to its lowest form.
The greatest common divisor (GCD) of -141 and 198 is 3.
Dividing both numerator and denominator by the GCD, we get \(\frac-4766\).

Final Answer

The result of 78/99 subtracted by 3/2 is:

\[ \frac{78}{99} - \frac{3}{2} = \frac-4766 \]

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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