Convert into a mixed fraction:
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Convert into a mixed fraction:
Let's write the decimal fraction as a mixed fraction.
Since there is one digit after the decimal point, we divide 6 by 10 and add 2, as follows:
Now let's divide the simple fraction by the highest number that can divide both the numerator and denominator, in this case the number is 2:
Reduce the following fraction:
\( 0.30 \)
Count the decimal places! For 2.6, there's 1 decimal place, so use 10. For 2 decimal places (like 2.65), use 100. The pattern is: 1 place = 10, 2 places = 100, 3 places = 1000, etc.
Simplifying gives the simplest form of the fraction, which is the standard way to express answers. and are equal, but is preferred because it uses smaller numbers.
List the factors of both numbers and find the largest one they share. For 6 and 10: factors of 6 are 1, 2, 3, 6 and factors of 10 are 1, 2, 5, 10. The largest common factor is 2.
The same process works! For example, 3.25 becomes , then simplify by dividing both 25 and 100 by their GCD of 25 to get .
Absolutely! Convert back: divide 3 ÷ 5 = 0.6, then add 2 + 0.6 = 2.6. This matches the original decimal, so your answer is correct!
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