Q:

# What is one half of two-thirds?

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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Another method one can use to arrive at this answer is division. One can divide the dividend, two-thirds, by two, the divisor. However, one needs to use the reciprocal of two, which is one-half when performing a division of fractions. The divisor needs to be changed into its reciprocal number. One can then multiply the two fractions of one-half and two-thirds.

Fractions have numerators, the top numbers, and denominators, the bottom numbers. After performing either a division or multiplication of fractions, one may need to reduce or simplify the fraction into lowest terms.

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## Related Questions

• A:

According to Fact Monster, two thirds as a decimal is 0.666 repeating (or 0.667 rounded) and as a percent is 66.6% repeating or 66.7%. To convert the two-thirds fraction to a decimal, simply divide the top number by the bottom number, or divide 2 by 3.

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• A:

It takes three-thirds to make a whole unit. As a fraction, three-thirds is written as 3/3, which literally means three divided by three, which is then simplified as one. A fraction is a part of a whole, and a whole is equivalent to the figure one.

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• A:

Forty minutes is two-thirds of an hour. A fraction is found by setting up a ratio between a whole and its parts. The denominator, is the total number of parts, while the numerator, indicates how many parts are involved.