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Write [tex]740 \%[/tex] as a decimal and as a mixed number.

A. [tex]0.74[/tex] and [tex]\frac{37}{50}[/tex]

B. [tex]7.4[/tex] and [tex]7 \frac{2}{5}[/tex]

C. [tex]74,000[/tex] and [tex]7 \frac{2}{5}[/tex]

D. [tex]7.4[/tex] and [tex]7 \frac{1}{25}[/tex]

Answer :

To convert 740% into a decimal and a mixed number, let's follow the steps:

Converting 740% to a Decimal:

1. Understand Percentages: Percentages represent a number out of 100. So, 740% means 740 out of 100.

2. Convert to Decimal: To convert a percentage to a decimal, divide by 100.

[tex]\[
\text{Decimal} = \frac{740}{100} = 7.4
\][/tex]

So, 740% as a decimal is 7.4.

Converting 740% to a Mixed Number:

1. Understand the Decimal: The decimal 7.4 can be split into a whole number and a fractional part. The whole number is 7.

2. Convert the Decimal Fraction to a Fraction: The decimal part 0.4 can be expressed as a fraction. Since 0.4 is 4 out of 10, it can be simplified:

[tex]\[
0.4 = \frac{4}{10}
\][/tex]

3. Simplify the Fraction: Simplify [tex]\(\frac{4}{10}\)[/tex] by dividing both the numerator and denominator by their greatest common divisor, which is 2:

[tex]\[
\frac{4}{10} = \frac{2}{5}
\][/tex]

4. Form the Mixed Number: Combine the whole number part and the simplified fraction to form the mixed number.

[tex]\[
7.4 \text{ as a mixed number is } 7 \frac{2}{5}
\][/tex]

Thus, 740% as a mixed number is [tex]\(7 \frac{2}{5}\)[/tex].

So, the answer is: 7.4 and [tex]\(7 \frac{2}{5}\)[/tex].

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