26/71 subtracted by 305/3 in Fraction Form

The result of 26/71 subtracted by 305/3 is: -102 149/213

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac3053\) from \(\frac2671\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 71 and 3 is 213.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac2671\) to \(\frac{78}213\)
Convert \(\frac3053\) to \(\frac{21655}213\)

Step 4: Subtract the Numerators

Subtract the numerators: 78 - 21655 = -21577

Step 5: Convert to Mixed Number

The fraction \(\frac-21577213\) can be written as the mixed number \(-102\frac149213\).

Final Answer

The result of 26/71 subtracted by 305/3 is:

\[ \frac{26}{71} - \frac{305}{3} = -102\frac149213 \]

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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