20/248 subtracted by 82/4 in Fraction Form

The result of 20/248 subtracted by 82/4 is: -21 18/31

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac824\) from \(\frac20248\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 248 and 4 is 248.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac20248\) to \(\frac{20}248\)
Convert \(\frac824\) to \(\frac{5084}248\)

Step 4: Subtract the Numerators

Subtract the numerators: 20 - 5084 = -5064

Step 5: Simplify the Fraction

We can simplify \(\frac-5064248\) to its lowest form.
The greatest common divisor (GCD) of -5064 and 248 is 8.
Dividing both numerator and denominator by the GCD, we get \(\frac-63331\).

Step 6: Convert to Mixed Number

The fraction \(\frac-63331\) can be written as the mixed number \(-21\frac1831\).

Final Answer

The result of 20/248 subtracted by 82/4 is:

\[ \frac{20}{248} - \frac{82}{4} = -21\frac1831 \]

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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