27/167 subtracted by 100/4 in Fraction Form

The result of 27/167 subtracted by 100/4 is: -25 27/167

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac1004\) from \(\frac27167\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 167 and 4 is 668.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac27167\) to \(\frac{108}668\)
Convert \(\frac1004\) to \(\frac{16700}668\)

Step 4: Subtract the Numerators

Subtract the numerators: 108 - 16700 = -16592

Step 5: Simplify the Fraction

We can simplify \(\frac-16592668\) to its lowest form.
The greatest common divisor (GCD) of -16592 and 668 is 4.
Dividing both numerator and denominator by the GCD, we get \(\frac-4148167\).

Step 6: Convert to Mixed Number

The fraction \(\frac-4148167\) can be written as the mixed number \(-25\frac27167\).

Final Answer

The result of 27/167 subtracted by 100/4 is:

\[ \frac{27}{167} - \frac{100}{4} = -25\frac27167 \]

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: