29/275 subtracted by 184/4 in Fraction Form

The result of 29/275 subtracted by 184/4 is: -46 29/275

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac1844\) from \(\frac29275\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 275 and 4 is 1100.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac29275\) to \(\frac{116}1100\)
Convert \(\frac1844\) to \(\frac{50600}1100\)

Step 4: Subtract the Numerators

Subtract the numerators: 116 - 50600 = -50484

Step 5: Simplify the Fraction

We can simplify \(\frac-504841100\) to its lowest form.
The greatest common divisor (GCD) of -50484 and 1100 is 4.
Dividing both numerator and denominator by the GCD, we get \(\frac-12621275\).

Step 6: Convert to Mixed Number

The fraction \(\frac-12621275\) can be written as the mixed number \(-46\frac29275\).

Final Answer

The result of 29/275 subtracted by 184/4 is:

\[ \frac{29}{275} - \frac{184}{4} = -46\frac29275 \]

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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