72/360 subtracted by 37/4 in Fraction Form

The result of 72/360 subtracted by 37/4 is: -10 19/20

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac374\) from \(\frac72360\).

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 \(\frac72360\) to \(\frac{72}360\)
Convert \(\frac374\) to \(\frac{3330}360\)

Step 4: Subtract the Numerators

Subtract the numerators: 72 - 3330 = -3258

Step 5: Simplify the Fraction

We can simplify \(\frac-3258360\) to its lowest form.
The greatest common divisor (GCD) of -3258 and 360 is 18.
Dividing both numerator and denominator by the GCD, we get \(\frac-18120\).

Step 6: Convert to Mixed Number

The fraction \(\frac-18120\) can be written as the mixed number \(-10\frac1920\).

Final Answer

The result of 72/360 subtracted by 37/4 is:

\[ \frac{72}{360} - \frac{37}{4} = -10\frac1920 \]

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).

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