78/161 subtracted by 207/4 in Fraction Form

The result of 78/161 subtracted by 207/4 is: -52 473/644

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac2074\) from \(\frac78161\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 161 and 4 is 644.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac78161\) to \(\frac{312}644\)
Convert \(\frac2074\) to \(\frac{33327}644\)

Step 4: Subtract the Numerators

Subtract the numerators: 312 - 33327 = -33015

Step 5: Convert to Mixed Number

The fraction \(\frac-33015644\) can be written as the mixed number \(-52\frac473644\).

Final Answer

The result of 78/161 subtracted by 207/4 is:

\[ \frac{78}{161} - \frac{207}{4} = -52\frac473644 \]

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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