Final answer:
To write (20)/(23) as a decimal rounded to the nearest tenth, divide 20 by 23 and round to the nearest tenth.
Step-by-step explanation:
To write (20)/(23) as a decimal rounded to the nearest tenth, divide 20 by 23 using long division.
20 ÷ 23 = 0.8696
After the division, we will obtain a decimal number. Since we need to round to the nearest tenth, we look at the digit in the tenths place and the digit following it. If the digit in the hundredths place is 5 or more, we round up the tenths place by one. If it's less than 5, we keep the tenths place as it is and drop the remaining digits. When we divide 20 by 23, we get approximately 0.86956, which rounds to 0.9 when rounded to the nearest tenth. Since we need to round to the nearest tenth, we look at the digit in the hundredth place, which is 9. Since 9 is greater than or equal to 5, we round up. Therefore, (20)/(23) as a decimal rounded to the nearest tenth is 0.9.