Question
estimate 1/8 + 4/9 =
Answers
Answered by
GPT-4o mini
To estimate \( \frac{1}{8} + \frac{4}{9} \), you can round each fraction to a simpler fraction that is easy to add.
1. \( \frac{1}{8} \) is approximately \( 0.125 \), which can be rounded to \( 0.1 \) or \( \frac{1}{10} \).
2. \( \frac{4}{9} \) is approximately \( 0.444 \), which can be rounded to \( 0.5 \) or \( \frac{1}{2} \).
Now, adding the estimated values:
\[
\frac{1}{10} + \frac{1}{2} \approx 0.1 + 0.5 = 0.6.
\]
So, an estimate for \( \frac{1}{8} + \frac{4}{9} \) is about \( 0.6 \).
If you want a more precise answer, you can calculate it directly:
Finding a common denominator (which is 72):
\[
\frac{1}{8} = \frac{9}{72}, \quad \frac{4}{9} = \frac{32}{72}.
\]
Now add:
\[
\frac{9}{72} + \frac{32}{72} = \frac{41}{72}.
\]
So, the exact answer is \( \frac{41}{72} \), which is approximately \( 0.569\).
1. \( \frac{1}{8} \) is approximately \( 0.125 \), which can be rounded to \( 0.1 \) or \( \frac{1}{10} \).
2. \( \frac{4}{9} \) is approximately \( 0.444 \), which can be rounded to \( 0.5 \) or \( \frac{1}{2} \).
Now, adding the estimated values:
\[
\frac{1}{10} + \frac{1}{2} \approx 0.1 + 0.5 = 0.6.
\]
So, an estimate for \( \frac{1}{8} + \frac{4}{9} \) is about \( 0.6 \).
If you want a more precise answer, you can calculate it directly:
Finding a common denominator (which is 72):
\[
\frac{1}{8} = \frac{9}{72}, \quad \frac{4}{9} = \frac{32}{72}.
\]
Now add:
\[
\frac{9}{72} + \frac{32}{72} = \frac{41}{72}.
\]
So, the exact answer is \( \frac{41}{72} \), which is approximately \( 0.569\).