7/9 subtracted by 6/4 in Fraction Form

The result of 7/9 subtracted by 6/4 is: -13/18

Step-by-Step Solution

Step 1: Understand the Problem

We need to subtract the fraction \(\frac64\) from \(\frac79\).

Step 2: Find the Least Common Multiple (LCM)

To subtract fractions, we need a common denominator. The LCM of 9 and 4 is 36.

Step 3: Convert Fractions to Equivalent Fractions

Convert \(\frac79\) to \(\frac{28}36\)
Convert \(\frac64\) to \(\frac{54}36\)

Step 4: Subtract the Numerators

Subtract the numerators: 28 - 54 = -26

Step 5: Simplify the Fraction

We can simplify \(\frac-2636\) to its lowest form.
The greatest common divisor (GCD) of -26 and 36 is 2.
Dividing both numerator and denominator by the GCD, we get \(\frac-1318\).

Final Answer

The result of 7/9 subtracted by 6/4 is:

\[ \frac{7}{9} - \frac{6}{4} = \frac-1318 \]

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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