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Answer :
To convert [tex]\(740\%\)[/tex] to both a decimal and a mixed number, you can follow these steps:
1. Converting Percent to Decimal:
To express a percentage as a decimal, you need to divide by 100. This is because "percent" means "per hundred."
[tex]\[
740\% = \frac{740}{100} = 7.4
\][/tex]
So, [tex]\(740\%\)[/tex] as a decimal is [tex]\(7.4\)[/tex].
2. Converting Decimal to Mixed Number:
A mixed number combines a whole number and a fraction.
- First, look at the decimal [tex]\(7.4\)[/tex]. The whole number part is [tex]\(7\)[/tex].
- The decimal part is [tex]\(0.4\)[/tex]. To convert this to a fraction, recognize that [tex]\(0.4\)[/tex] is the same as [tex]\(\frac{4}{10}\)[/tex].
- Simplify the fraction [tex]\(\frac{4}{10}\)[/tex] by dividing both the numerator and the denominator by their greatest common factor, which is 2:
[tex]\[
\frac{4}{10} = \frac{4 \div 2}{10 \div 2} = \frac{2}{5}
\][/tex]
So, [tex]\(7.4\)[/tex] can be written as the mixed number [tex]\(7 \frac{2}{5}\)[/tex].
In summary, [tex]\(740\%\)[/tex] as a decimal is [tex]\(7.4\)[/tex], and as a mixed number, it is [tex]\(7 \frac{2}{5}\)[/tex].
1. Converting Percent to Decimal:
To express a percentage as a decimal, you need to divide by 100. This is because "percent" means "per hundred."
[tex]\[
740\% = \frac{740}{100} = 7.4
\][/tex]
So, [tex]\(740\%\)[/tex] as a decimal is [tex]\(7.4\)[/tex].
2. Converting Decimal to Mixed Number:
A mixed number combines a whole number and a fraction.
- First, look at the decimal [tex]\(7.4\)[/tex]. The whole number part is [tex]\(7\)[/tex].
- The decimal part is [tex]\(0.4\)[/tex]. To convert this to a fraction, recognize that [tex]\(0.4\)[/tex] is the same as [tex]\(\frac{4}{10}\)[/tex].
- Simplify the fraction [tex]\(\frac{4}{10}\)[/tex] by dividing both the numerator and the denominator by their greatest common factor, which is 2:
[tex]\[
\frac{4}{10} = \frac{4 \div 2}{10 \div 2} = \frac{2}{5}
\][/tex]
So, [tex]\(7.4\)[/tex] can be written as the mixed number [tex]\(7 \frac{2}{5}\)[/tex].
In summary, [tex]\(740\%\)[/tex] as a decimal is [tex]\(7.4\)[/tex], and as a mixed number, it is [tex]\(7 \frac{2}{5}\)[/tex].
We appreciate you taking the time to read Write tex 740 tex as a decimal and as a mixed number A 74 000 and tex 7 frac 2 5 tex B 7 4. We hope the insights shared have been helpful in deepening your understanding of the topic. Don't hesitate to browse our website for more valuable and informative content!
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