202/27 subtracted by 80/4 in Fraction Form

The result of 202/27 subtracted by 80/4 is: -13 13/27

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac804\) from \(\frac20227\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 27 and 4 is 108.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac20227\) to \(\frac{808}108\)
Convert \(\frac804\) to \(\frac{2160}108\)

Step 4: Subtract the Numerators

Subtract the numerators: 808 - 2160 = -1352

Step 5: Simplify the Fraction

We can simplify \(\frac-1352108\) to its lowest form.
The greatest common divisor (GCD) of -1352 and 108 is 4.
Dividing both numerator and denominator by the GCD, we get \(\frac-33827\).

Step 6: Convert to Mixed Number

The fraction \(\frac-33827\) can be written as the mixed number \(-13\frac1327\).

Final Answer

The result of 202/27 subtracted by 80/4 is:

\[ \frac{202}{27} - \frac{80}{4} = -13\frac1327 \]

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: