52/222 subtracted by 85/4 in Fraction Form

The result of 52/222 subtracted by 85/4 is: -22 437/444

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac854\) from \(\frac52222\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 222 and 4 is 444.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac52222\) to \(\frac{104}444\)
Convert \(\frac854\) to \(\frac{9435}444\)

Step 4: Subtract the Numerators

Subtract the numerators: 104 - 9435 = -9331

Step 5: Convert to Mixed Number

The fraction \(\frac-9331444\) can be written as the mixed number \(-22\frac437444\).

Final Answer

The result of 52/222 subtracted by 85/4 is:

\[ \frac{52}{222} - \frac{85}{4} = -22\frac437444 \]

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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