Sure! Let's tackle each part of the question step by step.
### Part (i): Calculating [tex]\( \frac{2.775}{23} \)[/tex] to 3 decimal places
1. Identify the values:
- Numerator: [tex]\( 2.775 \)[/tex]
- Denominator: [tex]\( 23 \)[/tex]
2. Perform the division:
- Divide the numerator by the denominator: [tex]\( \frac{2.775}{23} \)[/tex]
3. Round the result:
- The result of this division, when rounded to 3 decimal places, is [tex]\( 0.121 \)[/tex].
Therefore, the answer to part (i) is [tex]\( \boxed{0.121} \)[/tex].
### Part (ii): Calculating [tex]\( \frac{37.6}{53} \)[/tex] to 2 decimal places
1. Identify the values:
- Numerator: [tex]\( 37.6 \)[/tex]
- Denominator: [tex]\( 53 \)[/tex]
2. Perform the division:
- Divide the numerator by the denominator: [tex]\( \frac{37.6}{53} \)[/tex]
3. Round the result:
- The result of this division, when rounded to 2 decimal places, is [tex]\( 0.71 \)[/tex].
Therefore, the answer to part (ii) is [tex]\( \boxed{0.71} \)[/tex].
So, the solutions are:
- Part (i): [tex]\( \frac{2.775}{23} = 0.121 \)[/tex] to 3 decimal places
- Part (ii): [tex]\( \frac{37.6}{53} = 0.71 \)[/tex] to 2 decimal places
