35/194 subtracted by 102/6 in Fraction Form

The result of 35/194 subtracted by 102/6 is: -17 35/194

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac1026\) from \(\frac35194\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 194 and 6 is 582.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac35194\) to \(\frac{105}582\)
Convert \(\frac1026\) to \(\frac{9894}582\)

Step 4: Subtract the Numerators

Subtract the numerators: 105 - 9894 = -9789

Step 5: Simplify the Fraction

We can simplify \(\frac-9789582\) to its lowest form.
The greatest common divisor (GCD) of -9789 and 582 is 3.
Dividing both numerator and denominator by the GCD, we get \(\frac-3263194\).

Step 6: Convert to Mixed Number

The fraction \(\frac-3263194\) can be written as the mixed number \(-17\frac35194\).

Final Answer

The result of 35/194 subtracted by 102/6 is:

\[ \frac{35}{194} - \frac{102}{6} = -17\frac35194 \]

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: