39/262 subtracted by 82/4 in Fraction Form

The result of 39/262 subtracted by 82/4 is: -21 85/131

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac824\) from \(\frac39262\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 262 and 4 is 524.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac39262\) to \(\frac{78}524\)
Convert \(\frac824\) to \(\frac{10742}524\)

Step 4: Subtract the Numerators

Subtract the numerators: 78 - 10742 = -10664

Step 5: Simplify the Fraction

We can simplify \(\frac-10664524\) to its lowest form.
The greatest common divisor (GCD) of -10664 and 524 is 4.
Dividing both numerator and denominator by the GCD, we get \(\frac-2666131\).

Step 6: Convert to Mixed Number

The fraction \(\frac-2666131\) can be written as the mixed number \(-21\frac85131\).

Final Answer

The result of 39/262 subtracted by 82/4 is:

\[ \frac{39}{262} - \frac{82}{4} = -21\frac85131 \]

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).

Fraction Calculator

Calculate operations between any two fractions: