5/37 subtracted by 3/6 in Fraction Form

The result of 5/37 subtracted by 3/6 is: -27/74

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac36\) from \(\frac537\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 37 and 6 is 222.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac537\) to \(\frac{30}222\)
Convert \(\frac36\) to \(\frac{111}222\)

Step 4: Subtract the Numerators

Subtract the numerators: 30 - 111 = -81

Step 5: Simplify the Fraction

We can simplify \(\frac-81222\) to its lowest form.
The greatest common divisor (GCD) of -81 and 222 is 3.
Dividing both numerator and denominator by the GCD, we get \(\frac-2774\).

Final Answer

The result of 5/37 subtracted by 3/6 is:

\[ \frac{5}{37} - \frac{3}{6} = \frac-2774 \]

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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