Watson's Tutor's assistant; or, Complete school arithmetic

Simpkin, Marshall,, 1845 - Arithmetic - 12 pages
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Page 97 - To reduce a mixed number to an improper fraction. RULE. Multiply the whole number by the denominator of the fraction, and to the product add the numerator for a new numerator, and place it over the denominator. 1. Reduce 127 T \ to an improper fraction.
Page 97 - RULE. Multiply all the numerators together for a new numerator, and all the denominators for a new denominator: then reduce the new fraction to its lowest terms.
Page 53 - Then multiply the second and third terms together, and divide the product by the first term: the quotient will be the fourth term, or answer.
Page 7 - Three lines are in harmonical proportion, when the first is to the third, as the difference between the first and second, is to the difference between the second and third ; and the second is called a harmonic mean between the first and third. The expression 'harmonical proportion...
Page 60 - ... but if the blank fall under the first or second term, the proportion is inverse ; then multiply the third and fourth terms together for a divisor, and the other three for a dividend, and the quotient will be the answer. EXAMPLES.
Page 14 - FOR ADDITION. I. Write the numbers to be added, under each other ; so that units may stand under units, tens under tens, &c.
Page 121 - RULE. 1. Separate the given number into periods of three figures each, beginning at the units place.
Page 22 - Multiply the integer of the quotient by the divisor, and to the product add the remainder, if any ; and the result will equal the dividend, if the work is right.
Page 155 - From three times the diameter of the sphere, take double the height of the segment ; then multiply the remainder by the square of the height, and...
Page 96 - To reduce an improper fraction to a whole or mixed number, — RULE : Divide the numerator by the denominator ; the quotient will be the whole or mixed number.