6/9 subtracted by 1/4 in Fraction Form
The result of 6/9 subtracted by 1/4 is: 5/12
Step-by-Step Solution
Step 1: Understand the Problem
We need to subtract the fraction \(\frac14\) from \(\frac69\).
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 \(\frac69\) to \(\frac{24}36\)
Convert \(\frac14\) to \(\frac{9}36\)
Step 4: Subtract the Numerators
Subtract the numerators: 24 - 9 = 15
Step 5: Simplify the Fraction
We can simplify \(\frac1536\) to its lowest form.
The greatest common divisor (GCD) of 15 and 36 is 3.
Dividing both numerator and denominator by the GCD, we get \(\frac512\).
Final Answer
The result of 6/9 subtracted by 1/4 is:
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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