To convert the fraction \( \frac{7}{60} \) into a decimal, you can divide the numerator by the denominator:
\[ 7 \div 60 = 0.11666\ldots \]
Thus, \( \frac{7}{60} \) as a decimal is approximately \( 0.1167 \) when rounded to four decimal places.
Convert the fraction below into a decimal
7/60
3 answers
Convert the decimal below to a fraction in simplest form.
0, point, 4, 3, 7
0.437
0, point, 4, 3, 7
0.437
To convert the decimal \(0.437\) to a fraction, follow these steps:
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Identify the decimal place: The decimal \(0.437\) has three decimal places.
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Write it as a fraction: You can write \(0.437\) as:
\[ \frac{437}{1000} \]
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Simplify the fraction: Next, we can check if \(437\) and \(1000\) have any common factors. The prime factorization of \(1000\) is \(2^3 \times 5^3\). Checking \(437\):
- \(437\) is not divisible by \(2\) (it's odd).
- The sum of the digits of \(437\) is \(4 + 3 + 7 = 14\), which is not divisible by \(3\).
- \(437\) does not end in \(0\) or \(5\), so it is not divisible by \(5\).
Further checks (like division by \(7\), 11, etc.) show that \(437\) is a prime number, as it's not divisible by any number less than its square root (approximately \(20.9\)).
Since \(437\) and \(1000\) have no common factors besides \(1\), the fraction is already in simplest form.
Thus, the decimal \(0.437\) as a fraction in simplest form is:
\[ \frac{437}{1000} \]