35/230 subtracted by 234/3 in Fraction Form

The result of 35/230 subtracted by 234/3 is: -78 7/46

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac2343\) from \(\frac35230\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 230 and 3 is 690.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac35230\) to \(\frac{105}690\)
Convert \(\frac2343\) to \(\frac{53820}690\)

Step 4: Subtract the Numerators

Subtract the numerators: 105 - 53820 = -53715

Step 5: Simplify the Fraction

We can simplify \(\frac-53715690\) to its lowest form.
The greatest common divisor (GCD) of -53715 and 690 is 15.
Dividing both numerator and denominator by the GCD, we get \(\frac-358146\).

Step 6: Convert to Mixed Number

The fraction \(\frac-358146\) can be written as the mixed number \(-78\frac746\).

Final Answer

The result of 35/230 subtracted by 234/3 is:

\[ \frac{35}{230} - \frac{234}{3} = -78\frac746 \]

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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