Answered

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Which fractions are equivalent to the fraction below? Check all that apply.

[tex]\[
\frac{9}{10}
\][/tex]

A. [tex]\(\frac{5}{14}\)[/tex]

B. [tex]\(\frac{18}{20}\)[/tex]

C. [tex]\(\frac{27}{30}\)[/tex]

D. [tex]\(\frac{15}{20}\)[/tex]

Sagot :

GinnyAnswer
To determine which fractions are equivalent to [tex]\(\frac{9}{10}\)[/tex], we need to simplify each of the given fractions and compare their decimal values to the decimal value of [tex]\(\frac{9}{10}\)[/tex].

First, let's convert [tex]\(\frac{9}{10}\)[/tex] to its decimal form:
[tex]\[ \frac{9}{10} = 0.9 \][/tex]

Next, we convert each of the given fractions to their decimal forms:

1. [tex]\(\frac{5}{14}\)[/tex]:
[tex]\[ \frac{5}{14} \approx 0.357 \][/tex]

2. [tex]\(\frac{18}{20}\)[/tex]:
[tex]\[ \frac{18}{20} = 0.9 \][/tex]

3. [tex]\(\frac{27}{30}\)[/tex]:
[tex]\[ \frac{27}{30} = 0.9 \][/tex]

4. [tex]\(\frac{15}{20}\)[/tex]:
[tex]\[ \frac{15}{20} = 0.75 \][/tex]

Now, we compare each of these decimal values to the decimal value of [tex]\(\frac{9}{10}\)[/tex], which is 0.9.

- [tex]\(\frac{5}{14} \approx 0.357\)[/tex], which is not equal to 0.9.
- [tex]\(\frac{18}{20} = 0.9\)[/tex], which is equal to 0.9.
- [tex]\(\frac{27}{30} = 0.9\)[/tex], which is equal to 0.9.
- [tex]\(\frac{15}{20} = 0.75\)[/tex], which is not equal to 0.9.

Therefore, the fractions equivalent to [tex]\(\frac{9}{10}\)[/tex] are:

- [tex]\(\frac{18}{20}\)[/tex]
- [tex]\(\frac{27}{30}\)[/tex]

So the correct answers are:
B. [tex]\(\frac{18}{20}\)[/tex]
C. [tex]\(\frac{27}{30}\)[/tex]
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