Answer :

Let's solve these questions step-by-step.

1. What fraction of a minute is 45 seconds?

We know that 1 minute is equal to 60 seconds. To find what fraction 45 seconds is of a minute, we compare it to the total number of seconds in a minute:

[tex]\[
\text{Fraction of a minute} = \frac{45\text{ seconds}}{60\text{ seconds}}
\][/tex]

Simplifying this fraction:

[tex]\[
\frac{45}{60} = \frac{3}{4}
\][/tex]

So, 45 seconds is [tex]\(\frac{3}{4}\)[/tex] of a minute, which is equal to 0.75 when expressed as a decimal.

2. What fraction of 600 grams is 500 grams?

To find what fraction 500 grams is of 600 grams, we compare the two:

[tex]\[
\text{Fraction of 600 grams} = \frac{500\text{ grams}}{600\text{ grams}}
\][/tex]

Simplifying this fraction:

[tex]\[
\frac{500}{600} = \frac{5}{6}
\][/tex]

So, 500 grams is [tex]\(\frac{5}{6}\)[/tex] of 600 grams, which is approximately 0.8333 when expressed as a decimal.

Therefore, the answers are:
- 45 seconds is [tex]\(\frac{3}{4}\)[/tex] or 0.75 of a minute.
- 500 grams is [tex]\(\frac{5}{6}\)[/tex] or approximately 0.8333 of 600 grams.

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Rewritten by : Barada