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Calculate, giving your answer correct to the indicated number of decimal places.

(i) [tex]\[ \frac{2.775}{23} \][/tex] to 3 decimal places.

(ii) [tex]\[ \frac{37.6}{53} \][/tex] to 2 decimal places.

Sagot :

GinnyAnswer
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
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