18/306 subtracted by 39/4 in Fraction Form

The result of 18/306 subtracted by 39/4 is: -10 21/68

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac394\) from \(\frac18306\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 306 and 4 is 612.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac18306\) to \(\frac{36}612\)
Convert \(\frac394\) to \(\frac{5967}612\)

Step 4: Subtract the Numerators

Subtract the numerators: 36 - 5967 = -5931

Step 5: Simplify the Fraction

We can simplify \(\frac-5931612\) to its lowest form.
The greatest common divisor (GCD) of -5931 and 612 is 9.
Dividing both numerator and denominator by the GCD, we get \(\frac-65968\).

Step 6: Convert to Mixed Number

The fraction \(\frac-65968\) can be written as the mixed number \(-10\frac2168\).

Final Answer

The result of 18/306 subtracted by 39/4 is:

\[ \frac{18}{306} - \frac{39}{4} = -10\frac2168 \]

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: