27/360 subtracted by 15/4 in Fraction Form

The result of 27/360 subtracted by 15/4 is: -4 13/40

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac154\) from \(\frac27360\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 360 and 4 is 360.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac27360\) to \(\frac{27}360\)
Convert \(\frac154\) to \(\frac{1350}360\)

Step 4: Subtract the Numerators

Subtract the numerators: 27 - 1350 = -1323

Step 5: Simplify the Fraction

We can simplify \(\frac-1323360\) to its lowest form.
The greatest common divisor (GCD) of -1323 and 360 is 9.
Dividing both numerator and denominator by the GCD, we get \(\frac-14740\).

Step 6: Convert to Mixed Number

The fraction \(\frac-14740\) can be written as the mixed number \(-4\frac1340\).

Final Answer

The result of 27/360 subtracted by 15/4 is:

\[ \frac{27}{360} - \frac{15}{4} = -4\frac1340 \]

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: