2/140 subtracted by 2/3 in Fraction Form

The result of 2/140 subtracted by 2/3 is: -137/210

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac23\) from \(\frac2140\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 140 and 3 is 420.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac2140\) to \(\frac{6}420\)
Convert \(\frac23\) to \(\frac{280}420\)

Step 4: Subtract the Numerators

Subtract the numerators: 6 - 280 = -274

Step 5: Simplify the Fraction

We can simplify \(\frac-274420\) to its lowest form.
The greatest common divisor (GCD) of -274 and 420 is 2.
Dividing both numerator and denominator by the GCD, we get \(\frac-137210\).

Final Answer

The result of 2/140 subtracted by 2/3 is:

\[ \frac{2}{140} - \frac{2}{3} = \frac-137210 \]

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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