8/13 subtracted by 11/6 in Fraction Form

The result of 8/13 subtracted by 11/6 is: -2 61/78

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac116\) from \(\frac813\).

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 \(\frac813\) to \(\frac{48}78\)
Convert \(\frac116\) to \(\frac{143}78\)

Step 4: Subtract the Numerators

Subtract the numerators: 48 - 143 = -95

Step 5: Convert to Mixed Number

The fraction \(\frac-9578\) can be written as the mixed number \(-2\frac6178\).

Final Answer

The result of 8/13 subtracted by 11/6 is:

\[ \frac{8}{13} - \frac{11}{6} = -2\frac6178 \]

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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