19/88 subtracted by 222/3 in Fraction Form

The result of 19/88 subtracted by 222/3 is: -74 19/88

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac2223\) from \(\frac1988\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 88 and 3 is 264.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac1988\) to \(\frac{57}264\)
Convert \(\frac2223\) to \(\frac{19536}264\)

Step 4: Subtract the Numerators

Subtract the numerators: 57 - 19536 = -19479

Step 5: Simplify the Fraction

We can simplify \(\frac-19479264\) to its lowest form.
The greatest common divisor (GCD) of -19479 and 264 is 3.
Dividing both numerator and denominator by the GCD, we get \(\frac-649388\).

Step 6: Convert to Mixed Number

The fraction \(\frac-649388\) can be written as the mixed number \(-74\frac1988\).

Final Answer

The result of 19/88 subtracted by 222/3 is:

\[ \frac{19}{88} - \frac{222}{3} = -74\frac1988 \]

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: