62/6 subtracted by 4/6 in Fraction Form

The result of 62/6 subtracted by 4/6 is: 9 2/3

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac46\) from \(\frac626\).

Step 2: Subtract the Numerators (Same Denominator)

Since the denominators are the same, we can directly subtract the numerators: 62 - 4 = 58

Step 3: Simplify the Fraction

We can simplify \(\frac586\) to its lowest form.
The greatest common divisor (GCD) of 58 and 6 is 2.
Dividing both numerator and denominator by the GCD, we get \(\frac293\).

Step 4: Convert to Mixed Number

The fraction \(\frac293\) can be written as the mixed number \(9\frac23\).

Final Answer

The result of 62/6 subtracted by 4/6 is:

\[ \frac{62}{6} - \frac{4}{6} = 9\frac23 \]

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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