There are infinitely many such fractions and the answer also depends on which other benchmarks you are using.
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One quarter (1/4) is the fraction that is half of one half (1/2 x 1/2 = 1/4).
If a fraction is equivalent to one-half then the numerator is always half the denominator. Or, the double the numerator is the denominator. So, given any other fraction, p/q, if 2p < q then the fraction < 1/2 if 2p = q then the fraction = 1/2 if 2p > q then the fraction > 1/2
137 and a half can be written as an improper fraction by multiplying the whole number (137) by the denominator of the fraction (2) and adding the numerator (1) to get 275. Therefore, 137 and a half as a fraction is 275/2.
One half is written 1/2 as a fraction. Other fractions equal to a half are 2/4, 3/6, 4/8 and many more.
1 and 1/2 as an improper fraction is 3/2.