Respuesta :
Answer: 5 1/2 pies as a mixed number, 11/2 as an improper fraction, 5.5 as a decimal, 550 as a percent
Step-by-step explanation:
2x5+1 11
-----------= -----
2 2
The fraction 5 1/2 is equal to 5, plus 1 divided by 2 which is equal to 5, plus 0.5 which is equal to 5.5 in decimal
5.5 x 100 = 550 percent
Mixed fraction:
Given statement: Susan is buying 5 and a half pies from the market.
We already know:
- The word "and" means "in addition to", which means addition (+)
Therefore, the number of pies Susan bought is;
- ⇒ 5 and a half pies
- ⇒ 5 + half pies
∴ Half can be written as ½
- ⇒ 5 + ½
If a whole number is being added to a fraction, we can combine them to convert the sum into mixed fraction.
- ⇒ 5 + ½
- ⇒ 5 ½
Therefore, 5 ½ is the fraction of pies, Susan bought.
Improper fraction:
Given statement: Susan is buying 5 and a half pies from the market.
In mixed fraction: Susan is buying 5 ½ pies from the market.
To convert the mixed fraction of pies into improper fraction, simply multiply the whole number by the denominator and add the numerator to the product of the whole number and the denominator. The denominator in the mixed fraction will remain the same in the denominator.
- ⇒ 5 ½
- ⇒ [(5 × 2) + 1]/2
- ⇒ [(10) + 1]/2
- ⇒ [11]/2 = 11/2
Therefore, 11/2 is the fraction of pies, Susan bought.
Decimal:
Given statement: Susan is buying 5 and a half pies from the market.
In improper fraction: Susan is buying 11/2 pies from the market.
Clearly, we can rewrite 11/2 as;
- ⇒ 10/2 + 1/2
10/2 results in getting 5 and 1/2 results in getting 0.5. Therefore,
- ⇒ 5 + 0.5
- ⇒ 5.5
Therefore, 5.5 is the decimal of pies, Susan bought.
Percent:
Given statement: Susan is buying 5 and a half pies from the market.
In decimal: Susan is buying 5.5 pies from the market.
Simply multiply the decimal by 100 to determine the percentage of pies bought by Susan.
⇒ 5.5 pies = 5.5 x 100% = 550%
Therefore, 550% is the percent of pies, Susan bought.
