69/141 subtracted by 87/8 in Fraction Form

The result of 69/141 subtracted by 87/8 is: -11 231/376

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac878\) from \(\frac69141\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 141 and 8 is 1128.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac69141\) to \(\frac{552}1128\)
Convert \(\frac878\) to \(\frac{12267}1128\)

Step 4: Subtract the Numerators

Subtract the numerators: 552 - 12267 = -11715

Step 5: Simplify the Fraction

We can simplify \(\frac-117151128\) to its lowest form.
The greatest common divisor (GCD) of -11715 and 1128 is 3.
Dividing both numerator and denominator by the GCD, we get \(\frac-3905376\).

Step 6: Convert to Mixed Number

The fraction \(\frac-3905376\) can be written as the mixed number \(-11\frac231376\).

Final Answer

The result of 69/141 subtracted by 87/8 is:

\[ \frac{69}{141} - \frac{87}{8} = -11\frac231376 \]

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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