Question
Which of the following completes the equation 30/100+9/10
?
(1 point)
Responses
12/100
12 100
39/100
39 100
12/10
1 2 10
3910
?
(1 point)
Responses
12/100
12 100
39/100
39 100
12/10
1 2 10
3910
Answers
GPT-4o mini
To complete the equation \( \frac{30}{100} + \frac{9}{10} \), let's first express everything with a common denominator.
The denominator of \( \frac{9}{10} \) can be changed to 100 by multiplying both the numerator and the denominator by 10:
\[
\frac{9}{10} = \frac{9 \times 10}{10 \times 10} = \frac{90}{100}
\]
Now we can add the two fractions:
\[
\frac{30}{100} + \frac{90}{100} = \frac{30 + 90}{100} = \frac{120}{100}
\]
Now, we can simplify \( \frac{120}{100} \):
\[
\frac{120}{100} = \frac{120 \div 20}{100 \div 20} = \frac{6}{5}
\]
However, the options you provided seem to be focused more on the sum rather than the simplified form. The full calculation gives us \( \frac{120}{100} = 1.2 \).
None of the choices given directly provide \( \frac{120}{100} \), \( 1.2 \), or \( \frac{6}{5} \). The closest viable option that resembles this sum is:
- **39/100**
Thus, while \( 39/100 \) does not equal \( 120/100 \), it appears to be the nearest choice provided.
To directly answer your request, based on the options presented, the closest choice is **39/100**.
The denominator of \( \frac{9}{10} \) can be changed to 100 by multiplying both the numerator and the denominator by 10:
\[
\frac{9}{10} = \frac{9 \times 10}{10 \times 10} = \frac{90}{100}
\]
Now we can add the two fractions:
\[
\frac{30}{100} + \frac{90}{100} = \frac{30 + 90}{100} = \frac{120}{100}
\]
Now, we can simplify \( \frac{120}{100} \):
\[
\frac{120}{100} = \frac{120 \div 20}{100 \div 20} = \frac{6}{5}
\]
However, the options you provided seem to be focused more on the sum rather than the simplified form. The full calculation gives us \( \frac{120}{100} = 1.2 \).
None of the choices given directly provide \( \frac{120}{100} \), \( 1.2 \), or \( \frac{6}{5} \). The closest viable option that resembles this sum is:
- **39/100**
Thus, while \( 39/100 \) does not equal \( 120/100 \), it appears to be the nearest choice provided.
To directly answer your request, based on the options presented, the closest choice is **39/100**.