20/343 subtracted by 86/2 in Fraction Form

The result of 20/343 subtracted by 86/2 is: -43 20/343

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac862\) from \(\frac20343\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 343 and 2 is 686.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac20343\) to \(\frac{40}686\)
Convert \(\frac862\) to \(\frac{29498}686\)

Step 4: Subtract the Numerators

Subtract the numerators: 40 - 29498 = -29458

Step 5: Simplify the Fraction

We can simplify \(\frac-29458686\) to its lowest form.
The greatest common divisor (GCD) of -29458 and 686 is 2.
Dividing both numerator and denominator by the GCD, we get \(\frac-14729343\).

Step 6: Convert to Mixed Number

The fraction \(\frac-14729343\) can be written as the mixed number \(-43\frac20343\).

Final Answer

The result of 20/343 subtracted by 86/2 is:

\[ \frac{20}{343} - \frac{86}{2} = -43\frac20343 \]

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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