47/92 subtracted by 210/3 in Fraction Form

The result of 47/92 subtracted by 210/3 is: -70 47/92

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac2103\) from \(\frac4792\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 92 and 3 is 276.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac4792\) to \(\frac{141}276\)
Convert \(\frac2103\) to \(\frac{19320}276\)

Step 4: Subtract the Numerators

Subtract the numerators: 141 - 19320 = -19179

Step 5: Simplify the Fraction

We can simplify \(\frac-19179276\) to its lowest form.
The greatest common divisor (GCD) of -19179 and 276 is 3.
Dividing both numerator and denominator by the GCD, we get \(\frac-639392\).

Step 6: Convert to Mixed Number

The fraction \(\frac-639392\) can be written as the mixed number \(-70\frac4792\).

Final Answer

The result of 47/92 subtracted by 210/3 is:

\[ \frac{47}{92} - \frac{210}{3} = -70\frac4792 \]

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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