78/320 subtracted by 8/2 in Fraction Form

The result of 78/320 subtracted by 8/2 is: -4 39/160

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac82\) from \(\frac78320\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 320 and 2 is 320.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac78320\) to \(\frac{78}320\)
Convert \(\frac82\) to \(\frac{1280}320\)

Step 4: Subtract the Numerators

Subtract the numerators: 78 - 1280 = -1202

Step 5: Simplify the Fraction

We can simplify \(\frac-1202320\) to its lowest form.
The greatest common divisor (GCD) of -1202 and 320 is 2.
Dividing both numerator and denominator by the GCD, we get \(\frac-601160\).

Step 6: Convert to Mixed Number

The fraction \(\frac-601160\) can be written as the mixed number \(-4\frac39160\).

Final Answer

The result of 78/320 subtracted by 8/2 is:

\[ \frac{78}{320} - \frac{8}{2} = -4\frac39160 \]

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: