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In the last two of the five versions of "Promenade" from Pictures at an Exhibition by Modest Mussorgsky, 7 4 is mixed irregularly with other metres: (4th Promenade) 5 4, 6 4, and 7 4, with a single 3 4 bar at the end; (5th Promenade) four pairs of regularly alternating 5 4 and 6 4, then an irregular mixture of 5 4, 6 4, and 7 4 to the end. [17]
The original fraction could have also been reduced in a single step by using the greatest common divisor of 90 and 120, which is 30. As 120 ÷ 30 = 4, and 90 ÷ 30 = 3, one gets = Which method is faster "by hand" depends on the fraction and the ease with which common factors are spotted.
An example of a fraction that cannot be represented by a decimal expression (with a finite number of digits) is 1 / 3 , 3 not being a power of 10. More generally, a decimal with n digits after the separator (a point or comma) represents the fraction with denominator 10 n, whose numerator is the integer obtained by removing the separator.