56/200 subtracted by 256/3 in Fraction Form

The result of 56/200 subtracted by 256/3 is: -86 71/75

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac2563\) from \(\frac56200\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 200 and 3 is 600.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac56200\) to \(\frac{168}600\)
Convert \(\frac2563\) to \(\frac{51200}600\)

Step 4: Subtract the Numerators

Subtract the numerators: 168 - 51200 = -51032

Step 5: Simplify the Fraction

We can simplify \(\frac-51032600\) to its lowest form.
The greatest common divisor (GCD) of -51032 and 600 is 8.
Dividing both numerator and denominator by the GCD, we get \(\frac-637975\).

Step 6: Convert to Mixed Number

The fraction \(\frac-637975\) can be written as the mixed number \(-86\frac7175\).

Final Answer

The result of 56/200 subtracted by 256/3 is:

\[ \frac{56}{200} - \frac{256}{3} = -86\frac7175 \]

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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