35/13 subtracted by 1/6 in Fraction Form

The result of 35/13 subtracted by 1/6 is: 2 41/78

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac16\) from \(\frac3513\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 13 and 6 is 78.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac3513\) to \(\frac{210}78\)
Convert \(\frac16\) to \(\frac{13}78\)

Step 4: Subtract the Numerators

Subtract the numerators: 210 - 13 = 197

Step 5: Convert to Mixed Number

The fraction \(\frac19778\) can be written as the mixed number \(2\frac4178\).

Final Answer

The result of 35/13 subtracted by 1/6 is:

\[ \frac{35}{13} - \frac{1}{6} = 2\frac4178 \]

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).

Related Calculations

\( \frac{35}{13} \times \frac{1}{6} \)
Calculate
\( \frac{35}{13} + \frac{1}{6} \)
Calculate
\( \frac{35}{13} \div \frac{1}{6} \)
Calculate
\( \frac{36}{13} - \frac{1}{6} \)
Calculate
\( \frac{35}{13} - \frac{2}{6} \)
Calculate
\( \frac{35}{14} - \frac{1}{6} \)
Calculate
Try Another Calculation

Fraction Calculator

Calculate operations between any two fractions: