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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:

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.

• 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.