Davies Ortega
11/22/2023 · Middle School

Find the value of \( 5.8 \div 1.2 \)

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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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