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Q:

# What is two thirds as a decimal?

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Two-thirds expressed as a decimal is 0.6, with a line over or under the six, indicating that the six repeats indefinitely, or as 0.666, which is accurate to three decimals. To convert a fraction to a decimal, divide the numerator, the top number, by the denominator, the bottom number.

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When divided as such, some fractions come out even and are called "terminating decimals." There are no repeating figures in terminating decimals. Other numbers, such as 2/3, are called "recurring decimals." When dividing 2/3, the division does not work out as an even number, so the six is repeated to infinity.

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## Related Questions

• A:

One half of two-thirds is equal to one-third. One finds this answer by multiplying the fraction two-thirds by one-half, which gives 2/6. This fraction simplifies to one-third, or 1/3.

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To round to two decimal places, refer to the third decimal place. If this digit is 5 or higher, raise the second decimal place up by one; if it is 4 or lower, leave the second decimal place as is. Then, omit the third decimal place and all that follow.

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The fraction 11/12 is converted to the decimal 0.916666, which can be rounded to 0.9167. Students can find the answer either by performing a long division of 11 by 12 or by using certain facts, such as the fact that 1/12 is equal to the decimal 0.083333 in which 3 is a repeating digit.