Davies Ortega
11/22/2023 · Middle School
Find the value of \( 5.8 \div 1.2 \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
To find the value of \( 5.8 \div 1.2 \), we can perform the division directly.
First, we can convert the division into a fraction:
\[
5.8 \div 1.2 = \frac{5.8}{1.2}
\]
Next, to simplify the division, we can eliminate the decimals by multiplying both the numerator and the denominator by 10:
\[
\frac{5.8 \times 10}{1.2 \times 10} = \frac{58}{12}
\]
Now, we can simplify \( \frac{58}{12} \). We can find the greatest common divisor (GCD) of 58 and 12, which is 2.
Now, we divide both the numerator and the denominator by 2:
\[
\frac{58 \div 2}{12 \div 2} = \frac{29}{6}
\]
Next, we can convert \( \frac{29}{6} \) into a decimal by performing the division:
\[
29 \div 6 = 4.8333\ldots
\]
This can also be expressed as:
\[
4.8333\ldots = 4.83\overline{3}
\]
Thus, the value of \( 5.8 \div 1.2 \) is approximately:
\[
\boxed{4.8333}
\]
or more precisely, \( \frac{29}{6} \) or \( 4.83\overline{3} \).
Quick Answer
\( 5.8 \div 1.2 = 4.8333 \)
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