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Convert each of the following fractions into a percent:

(a) [tex]\frac{5}{2}[/tex]
(b) [tex]\frac{7}{9}[/tex]
(c) [tex]\frac{13}{12}[/tex]
(d) [tex]\frac{15}{100}[/tex]

Sagot :

GinnyAnsweridn
Sure! Let's convert each fraction into a percent step by step.

### (a) [tex]\(\frac{5}{2}\)[/tex]
To convert the fraction [tex]\(\frac{5}{2}\)[/tex] into a percentage:
1. Divide the numerator by the denominator: [tex]\(\frac{5}{2} = 2.5\)[/tex].
2. Multiply the result by 100 to get the percentage: [tex]\(2.5 \times 100 = 250.0\%\)[/tex].

So, [tex]\(\frac{5}{2}\)[/tex] is 250.0%.

### (b) [tex]\(\frac{7}{9}\)[/tex]
To convert the fraction [tex]\(\frac{7}{9}\)[/tex] into a percentage:
1. Divide the numerator by the denominator: [tex]\(\frac{7}{9} \approx 0.7777777777777778\)[/tex].
2. Multiply the result by 100 to get the percentage: [tex]\(0.7777777777777778 \times 100 \approx 77.77777777777779\%\)[/tex].

So, [tex]\(\frac{7}{9}\)[/tex] is approximately 77.77777777777779%.

### (c) [tex]\(\frac{13}{12}\)[/tex]
To convert the fraction [tex]\(\frac{13}{12}\)[/tex] into a percentage:
1. Divide the numerator by the denominator: [tex]\(\frac{13}{12} \approx 1.0833333333333333\)[/tex].
2. Multiply the result by 100 to get the percentage: [tex]\(1.0833333333333333 \times 100 \approx 108.33333333333333\%\)[/tex].

So, [tex]\(\frac{13}{12}\)[/tex] is approximately 108.33333333333333%.

### (d) [tex]\(\frac{15}{100}\)[/tex]
To convert the fraction [tex]\(\frac{15}{100}\)[/tex] into a percentage:
1. Divide the numerator by the denominator: [tex]\(\frac{15}{100} = 0.15\)[/tex].
2. Multiply the result by 100 to get the percentage: [tex]\(0.15 \times 100 = 15.0\%\)[/tex].

So, [tex]\(\frac{15}{100}\)[/tex] is 15.0%.

### Summary
(a) [tex]\(\frac{5}{2}\)[/tex] is [tex]\(250.0\%\)[/tex].

(b) [tex]\(\frac{7}{9}\)[/tex] is approximately [tex]\(77.77777777777779\%\)[/tex].

(c) [tex]\(\frac{13}{12}\)[/tex] is approximately [tex]\(108.33333333333333\%\)[/tex].

(d) [tex]\(\frac{15}{100}\)[/tex] is [tex]\(15.0\%\)[/tex].
Chibabykalu16idn

Answer:

a) 250%

b) ≈ 77%

c) ≈ 108%

d) 15%

Step-by-step explanation:

Converting these fractions into percentages involves converting it into decimals and then multiplying them by 100

a)

5/2 * 100 = 2.5 * 100 = 250%

b)

7/9 * 100 ≈ 0.77 * 100 = 77%

c)

13/12 * 100 ≈ 1.08 * 100 = 108%

d)

15/100 * 100 = 0.15 * 100 = 15%

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