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The value of 20.91div0.17 is...

The value of `20.91div0.17` is

A

0.0123

B

1.23

C

12.3

D

123

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem of dividing 20.91 by 0.17, we can follow these steps: ### Step-by-Step Solution: 1. **Convert the Division to a Whole Number**: We can eliminate the decimals by multiplying both the numerator (20.91) and the denominator (0.17) by 100. This gives us: \[ \frac{20.91 \times 100}{0.17 \times 100} = \frac{2091}{17} \] 2. **Set Up Long Division**: Now we need to divide 2091 by 17 using long division. 3. **Divide the First Part**: - 17 goes into 20 (the first two digits of 2091) 1 time. - Multiply 1 by 17 to get 17. - Subtract 17 from 20 to get 3. - Bring down the next digit (9) to make it 39. 4. **Continue Dividing**: - 17 goes into 39 two times (since 17 x 2 = 34). - Subtract 34 from 39 to get 5. - Bring down the next digit (1) to make it 51. 5. **Final Division**: - 17 goes into 51 three times (since 17 x 3 = 51). - Subtract 51 from 51 to get 0. 6. **Combine the Results**: - The result of the division is 123. ### Final Answer: Thus, the value of \( 20.91 \div 0.17 \) is **123**. ---
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