201/189 subtracted by 119/4 in Fraction Form

The result of 201/189 subtracted by 119/4 is: -29 79/252

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac1194\) from \(\frac201189\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 189 and 4 is 756.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac201189\) to \(\frac{804}756\)
Convert \(\frac1194\) to \(\frac{22491}756\)

Step 4: Subtract the Numerators

Subtract the numerators: 804 - 22491 = -21687

Step 5: Simplify the Fraction

We can simplify \(\frac-21687756\) to its lowest form.
The greatest common divisor (GCD) of -21687 and 756 is 3.
Dividing both numerator and denominator by the GCD, we get \(\frac-7229252\).

Step 6: Convert to Mixed Number

The fraction \(\frac-7229252\) can be written as the mixed number \(-29\frac79252\).

Final Answer

The result of 201/189 subtracted by 119/4 is:

\[ \frac{201}{189} - \frac{119}{4} = -29\frac79252 \]

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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