2/7 subtracted by 6/2 in Fraction Form

The result of 2/7 subtracted by 6/2 is: -3 2/7

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac62\) from \(\frac27\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 7 and 2 is 14.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac27\) to \(\frac{4}14\)
Convert \(\frac62\) to \(\frac{42}14\)

Step 4: Subtract the Numerators

Subtract the numerators: 4 - 42 = -38

Step 5: Simplify the Fraction

We can simplify \(\frac-3814\) to its lowest form.
The greatest common divisor (GCD) of -38 and 14 is 2.
Dividing both numerator and denominator by the GCD, we get \(\frac-197\).

Step 6: Convert to Mixed Number

The fraction \(\frac-197\) can be written as the mixed number \(-3\frac27\).

Final Answer

The result of 2/7 subtracted by 6/2 is:

\[ \frac{2}{7} - \frac{6}{2} = -3\frac27 \]

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).

Related Calculations

\( \frac{2}{7} \times \frac{6}{2} \)
Calculate
\( \frac{2}{7} + \frac{6}{2} \)
Calculate
\( \frac{2}{7} \div \frac{6}{2} \)
Calculate
\( \frac{3}{7} - \frac{6}{2} \)
Calculate
\( \frac{2}{7} - \frac{7}{2} \)
Calculate
\( \frac{2}{8} - \frac{6}{2} \)
Calculate
Try Another Calculation

Fraction Calculator

Calculate operations between any two fractions: