23/2 divided by 14/3 in Fraction Form
The result of 23/2 divided by 14/3 is: 2 13/28
Step-by-Step Solution
Step 1: Understand the Problem
We need to divide the fraction \(\frac232\) by \(\frac143\).
Step 2: Use the Division Rule
To divide fractions, we multiply by the reciprocal of the second fraction:
\(\frac232 \div \frac143 = \frac232 \times \frac314\)
Step 3: Multiply the Fractions
Multiply the numerators: 23 × 3 = 69
Multiply the denominators: 2 × 14 = 28
Step 4: Convert to Mixed Number
The fraction \(\frac6928\) can be written as the mixed number \(2\frac1328\).
Final Answer
The result of 23/2 divided by 14/3 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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