20/295 subtracted by 8/3 in Fraction Form

The result of 20/295 subtracted by 8/3 is: -3 71/177

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac83\) from \(\frac20295\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 295 and 3 is 885.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac20295\) to \(\frac{60}885\)
Convert \(\frac83\) to \(\frac{2360}885\)

Step 4: Subtract the Numerators

Subtract the numerators: 60 - 2360 = -2300

Step 5: Simplify the Fraction

We can simplify \(\frac-2300885\) to its lowest form.
The greatest common divisor (GCD) of -2300 and 885 is 5.
Dividing both numerator and denominator by the GCD, we get \(\frac-460177\).

Step 6: Convert to Mixed Number

The fraction \(\frac-460177\) can be written as the mixed number \(-3\frac71177\).

Final Answer

The result of 20/295 subtracted by 8/3 is:

\[ \frac{20}{295} - \frac{8}{3} = -3\frac71177 \]

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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