1/21 divided by 11/3 in Fraction Form
The result of 1/21 divided by 11/3 is: 1/77
Step-by-Step Solution
Step 1: Understand the Problem
We need to divide the fraction \(\frac121\) by \(\frac113\).
Step 2: Use the Division Rule
To divide fractions, we multiply by the reciprocal of the second fraction:
\(\frac121 \div \frac113 = \frac121 \times \frac311\)
Step 3: Multiply the Fractions
Multiply the numerators: 1 × 3 = 3
Multiply the denominators: 21 × 11 = 231
Step 4: Simplify the Fraction
We can simplify \(\frac3231\) to its lowest form.
The greatest common divisor (GCD) of 3 and 231 is 3.
Dividing both numerator and denominator by the GCD, we get \(\frac177\).
Final Answer
The result of 1/21 divided by 11/3 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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