Question

Which of the following completes the equation 30/100+9/10?
(1 point)
12/100
39/100
1 2/10
3 9/10

Answer 1

Let's simplify the equation \( \frac{30}{100} + \frac{9}{10} \).

First, we convert \( \frac{9}{10} \) into a fraction with a denominator of 100:
\[
\frac{9}{10} = \frac{9 \times 10}{10 \times 10} = \frac{90}{100}
\]

Now we can add the two fractions:
\[
\frac{30}{100} + \frac{90}{100} = \frac{30 + 90}{100} = \frac{120}{100}
\]

Next, we simplify \( \frac{120}{100} \):
\[
\frac{120}{100} = \frac{120 ÷ 20}{100 ÷ 20} = \frac{6}{5}
\]

This can also be expressed as a mixed number:
\[
\frac{6}{5} = 1 \frac{1}{5}
\]

None of the provided choices directly match \( 1 \frac{1}{5} \). However, simplifying further, we find:
\[
\frac{120}{100} = 1.2
\]
This can also be written as \( 1 \frac{2}{10} \), often expressed as \( 1.2 \) in decimal form.

So, the closest option that completes the equation \( \frac{30}{100} + \frac{9}{10} \) is:
**1 2/10**