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Convert into a decimal: (19)/(20)...

Convert into a decimal:
`(19)/(20)`

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The correct Answer is:
To convert the fraction \( \frac{19}{20} \) into a decimal, we will perform the division of 19 by 20 step by step. ### Step 1: Set up the division We need to divide 19 by 20. We can write this as: \[ 19 \div 20 \] ### Step 2: Determine how many times 20 goes into 19 Since 20 is greater than 19, it cannot go into 19 even once. Therefore, we start with: \[ 0. \] ### Step 3: Add a decimal point and a zero To continue the division, we can add a decimal point to 19 and a zero, making it 190. So now we are dividing: \[ 190 \div 20 \] ### Step 4: Divide 190 by 20 Now we need to see how many times 20 fits into 190. - 20 goes into 190 a total of 9 times because: \[ 20 \times 9 = 180 \] ### Step 5: Subtract the result from 190 Now, we subtract 180 from 190: \[ 190 - 180 = 10 \] ### Step 6: Bring down another zero Next, we bring down another zero, making it 100. Now we divide: \[ 100 \div 20 \] ### Step 7: Divide 100 by 20 20 fits into 100 a total of 5 times because: \[ 20 \times 5 = 100 \] ### Step 8: Subtract again Now, we subtract 100 from 100: \[ 100 - 100 = 0 \] ### Conclusion Since there is no remainder, we can conclude that: \[ \frac{19}{20} = 0.95 \] ### Final Answer Thus, the decimal representation of \( \frac{19}{20} \) is: \[ 0.95 \] ---
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