We're glad you stopped by Write tex 740 tex as a decimal and as a mixed number A 74 000 and tex 7 frac 2 5 tex B 0 74. This page is here to walk you through essential details with clear and straightforward explanations. Our goal is to make your learning experience easy, enriching, and enjoyable. Start exploring and find the information you need!
Answer :
Sure, let's go through how we can write [tex]\( 740\% \)[/tex] as both a decimal and a mixed number.
### Convert to a Decimal
1. Understanding Percent: Percent means "per hundred", so [tex]\( 740\% \)[/tex] is the same as [tex]\( \frac{740}{100} \)[/tex].
2. Convert to Decimal: To convert a percentage to a decimal, divide by 100:
[tex]\[
740\% = \frac{740}{100} = 7.4
\][/tex]
### Convert to a Mixed Number
1. Fraction Form: Again, we start with [tex]\( 740\% = \frac{740}{100} \)[/tex].
2. Simplify the Fraction:
- Divide both the numerator (740) and the denominator (100) by their greatest common divisor (GCD), which is 20 in this case:
[tex]\[
\frac{740 \div 20}{100 \div 20} = \frac{37}{5}
\][/tex]
3. Convert to Mixed Number:
- Divide the numerator by the denominator to find the whole number part:
[tex]\[
37 \div 5 = 7 \quad \text{remainder} \, 2
\][/tex]
- So, [tex]\( \frac{37}{5} = 7 \frac{2}{5} \)[/tex].
In conclusion, [tex]\( 740\% \)[/tex] is equivalent to [tex]\( 7.4 \)[/tex] as a decimal and [tex]\( 7 \frac{2}{5} \)[/tex] as a mixed number.
### Convert to a Decimal
1. Understanding Percent: Percent means "per hundred", so [tex]\( 740\% \)[/tex] is the same as [tex]\( \frac{740}{100} \)[/tex].
2. Convert to Decimal: To convert a percentage to a decimal, divide by 100:
[tex]\[
740\% = \frac{740}{100} = 7.4
\][/tex]
### Convert to a Mixed Number
1. Fraction Form: Again, we start with [tex]\( 740\% = \frac{740}{100} \)[/tex].
2. Simplify the Fraction:
- Divide both the numerator (740) and the denominator (100) by their greatest common divisor (GCD), which is 20 in this case:
[tex]\[
\frac{740 \div 20}{100 \div 20} = \frac{37}{5}
\][/tex]
3. Convert to Mixed Number:
- Divide the numerator by the denominator to find the whole number part:
[tex]\[
37 \div 5 = 7 \quad \text{remainder} \, 2
\][/tex]
- So, [tex]\( \frac{37}{5} = 7 \frac{2}{5} \)[/tex].
In conclusion, [tex]\( 740\% \)[/tex] is equivalent to [tex]\( 7.4 \)[/tex] as a decimal and [tex]\( 7 \frac{2}{5} \)[/tex] as a mixed number.
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