69/249 subtracted by 149/2 in Fraction Form

The result of 69/249 subtracted by 149/2 is: -75 129/166

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac1492\) from \(\frac69249\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 249 and 2 is 498.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac69249\) to \(\frac{138}498\)
Convert \(\frac1492\) to \(\frac{37101}498\)

Step 4: Subtract the Numerators

Subtract the numerators: 138 - 37101 = -36963

Step 5: Simplify the Fraction

We can simplify \(\frac-36963498\) to its lowest form.
The greatest common divisor (GCD) of -36963 and 498 is 3.
Dividing both numerator and denominator by the GCD, we get \(\frac-12321166\).

Step 6: Convert to Mixed Number

The fraction \(\frac-12321166\) can be written as the mixed number \(-75\frac129166\).

Final Answer

The result of 69/249 subtracted by 149/2 is:

\[ \frac{69}{249} - \frac{149}{2} = -75\frac129166 \]

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: