Question
lomont builds a toy block tower 4 2/3 feet high. he puts a toy antenna on the tower that is 1/ foot tall
Answers
GPT-4o mini
To find the total height of the toy block tower with the antenna on top, you need to add the height of the tower (4 2/3 feet) to the height of the antenna (1/2 foot).
First, convert the mixed number \(4 \frac{2}{3}\) into an improper fraction:
\[
4 \frac{2}{3} = \frac{4 \times 3 + 2}{3} = \frac{12 + 2}{3} = \frac{14}{3}
\]
Next, to add the two heights, convert \(1/2\) into a fraction with a denominator of 6 for easy addition:
\[
\frac{1}{2} = \frac{3}{6}
\]
\[
\frac{14}{3} = \frac{28}{6}
\]
Now, add the two fractions:
\[
\frac{28}{6} + \frac{3}{6} = \frac{28 + 3}{6} = \frac{31}{6}
\]
Now convert \(\frac{31}{6}\) back into a mixed number:
\[
\frac{31}{6} = 5 \frac{1}{6}
\]
Thus, the total height of the toy block tower with the antenna is \(5 \frac{1}{6}\) feet.
First, convert the mixed number \(4 \frac{2}{3}\) into an improper fraction:
\[
4 \frac{2}{3} = \frac{4 \times 3 + 2}{3} = \frac{12 + 2}{3} = \frac{14}{3}
\]
Next, to add the two heights, convert \(1/2\) into a fraction with a denominator of 6 for easy addition:
\[
\frac{1}{2} = \frac{3}{6}
\]
\[
\frac{14}{3} = \frac{28}{6}
\]
Now, add the two fractions:
\[
\frac{28}{6} + \frac{3}{6} = \frac{28 + 3}{6} = \frac{31}{6}
\]
Now convert \(\frac{31}{6}\) back into a mixed number:
\[
\frac{31}{6} = 5 \frac{1}{6}
\]
Thus, the total height of the toy block tower with the antenna is \(5 \frac{1}{6}\) feet.