5/9 divided by 2/4 in Fraction Form
The result of 5/9 divided by 2/4 is: 1 1/9
Step-by-Step Solution
Step 1: Understand the Problem
We need to divide the fraction \(\frac59\) by \(\frac24\).
Step 2: Use the Division Rule
To divide fractions, we multiply by the reciprocal of the second fraction:
\(\frac59 \div \frac24 = \frac59 \times \frac42\)
Step 3: Multiply the Fractions
Multiply the numerators: 5 × 4 = 20
Multiply the denominators: 9 × 2 = 18
Step 4: Simplify the Fraction
We can simplify \(\frac2018\) to its lowest form.
The greatest common divisor (GCD) of 20 and 18 is 2.
Dividing both numerator and denominator by the GCD, we get \(\frac109\).
Step 5: Convert to Mixed Number
The fraction \(\frac109\) can be written as the mixed number \(1\frac19\).
Final Answer
The result of 5/9 divided by 2/4 is:
Understanding Fraction Division
How to Divide Fractions
To divide fractions, you multiply by the reciprocal of the divisor:
\( \frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c} = \frac{ad}{bc} \)
This technique is often remembered as "keep, change, flip" - keep the first fraction, change division to multiplication, and flip the second fraction.
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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