20 divided by 9
Understand the Problem
The question is asking for the division of 20 by 9, which involves finding out how many times 9 fits into 20 and determining the remainder or decimal equivalent.
Answer
2.2222 (repeating)
Answer for screen readers
The final answer is 2.2222 (repeating)
Steps to Solve
-
Perform integer division to find the quotient
Divide 20 by 9 to determine how many whole times 9 fits into 20.
$$ 20 \div 9 = 2 \text{ (quotient)} $$
- Multiply the quotient by the divisor to find the product
Multiply the quotient (2) by the divisor (9) to find the product.
$$ 2 \times 9 = 18 $$
- Subtract the product from the original number to find the remainder
Subtract the product (18) from the original number (20) to find the remainder.
$$ 20 - 18 = 2 \text{ (remainder)} $$
- Express the result as a mixed number or decimal
The quotient is 2, with a remainder of 2. As a mixed number, it is $2 \frac{2}{9}$. To express it as a decimal, divide the remainder by the divisor.
$$ \frac{2}{9} \approx 0.2222 \text{ (repeating)} $$
Combine the integer part and the decimal part.
$$ 2 + 0.2222 \approx 2.2222 \text{ (repeating)} $$
The final answer is 2.2222 (repeating)
More Information
When dividing two numbers, if the division does not result in a whole number, it can be represented as a decimal, sometimes repeating, or as a mixed number.
Tips
A common mistake is to stop after finding the quotient and not converting the remainder into a decimal. Make sure to handle the remainder correctly.
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