69/186 subtracted by 128/4 in Fraction Form

The result of 69/186 subtracted by 128/4 is: -32 23/62

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac1284\) from \(\frac69186\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 186 and 4 is 372.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac69186\) to \(\frac{138}372\)
Convert \(\frac1284\) to \(\frac{11904}372\)

Step 4: Subtract the Numerators

Subtract the numerators: 138 - 11904 = -11766

Step 5: Simplify the Fraction

We can simplify \(\frac-11766372\) to its lowest form.
The greatest common divisor (GCD) of -11766 and 372 is 6.
Dividing both numerator and denominator by the GCD, we get \(\frac-196162\).

Step 6: Convert to Mixed Number

The fraction \(\frac-196162\) can be written as the mixed number \(-32\frac2362\).

Final Answer

The result of 69/186 subtracted by 128/4 is:

\[ \frac{69}{186} - \frac{128}{4} = -32\frac2362 \]

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).

Fraction Calculator

Calculate operations between any two fractions: