10/127 subtracted by 101/6 in Fraction Form

The result of 10/127 subtracted by 101/6 is: -17 187/762

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction $\frac{1}{0} 16$ from $\frac{1}{0} 127$ .

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 127 and 6 is 762.

Step 3: Convert Fractions to Equivalent Fractions

Convert $\frac{1}{0} 127$ to $\frac{60}{7} 62$
Convert $\frac{1}{0} 16$ to $\frac{12827}{7} 62$

Step 4: Subtract the Numerators

Subtract the numerators: 60 - 12827 = -12767

Step 5: Convert to Mixed Number

The fraction $\frac{-}{1} 2767762$ can be written as the mixed number $- 17 \frac{1}{8} 7762$ .

Final Answer

The result of 10/127 subtracted by 101/6 is:

\frac{10}{127} - \frac{101}{6} = - 17 \frac{1}{8} 7762

Understanding Fraction Subtraction

How to Subtract Fractions

To subtract fractions, you need to ensure they have a common denominator. Then subtract the numerators:

$\frac{a}{b} - \frac{c}{d} = \frac{a d - b c}{b d}$ (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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