131/137 subtracted by 70/2 in Fraction Form

The result of 131/137 subtracted by 70/2 is: -35 131/137

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac702\) from \(\frac131137\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 137 and 2 is 274.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac131137\) to \(\frac{262}274\)
Convert \(\frac702\) to \(\frac{9590}274\)

Step 4: Subtract the Numerators

Subtract the numerators: 262 - 9590 = -9328

Step 5: Simplify the Fraction

We can simplify \(\frac-9328274\) to its lowest form.
The greatest common divisor (GCD) of -9328 and 274 is 2.
Dividing both numerator and denominator by the GCD, we get \(\frac-4664137\).

Step 6: Convert to Mixed Number

The fraction \(\frac-4664137\) can be written as the mixed number \(-35\frac131137\).

Final Answer

The result of 131/137 subtracted by 70/2 is:

\[ \frac{131}{137} - \frac{70}{2} = -35\frac131137 \]

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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