### Фй лЭне пй чсЮуфет -Уэнфбоз ксйфйкЮт

Ден енфпрЯубме ксйфйкЭт уфйт ухнЮиейт фпрпиеуЯет.

### ДзмпцйлЮ брпурЬумбфб

УелЯдб 40 - If the numerator and denominator of each fraction is multiplied (or divided) by the same number, the value of the fraction will not change. This is because a fraction b/b, b being any number, is equal to the multiplicative identity, 1 . Therefore, Hx8.= 88 _5_x!
УелЯдб 158 - In any series of numbers in arithmetical progression, the sum of the two extremes is equal to the sum of any two terms equally distant from them; as in the latter of the above series 6 + 1=4+3, and =5+2.
УелЯдб 196 - If 248 men, in 5 days, of 11 hours each, can dig a trench 230 yards long, 3 wide...
УелЯдб 195 - What fraction is that, to the numerator of which if 1 be added, the value will be •Ј ; but if 1 be adde.d to the denominator, its value will be | ? Let — denote the fraction.
УелЯдб 158 - When four numbers are in arithmetical progression t/te • sum of the extremes is equal to the sum of the means.
УелЯдб 110 - PROPORTION THE PRODUCT OF THE TWO EXTREME TERMS IS EQUAL TO THE PRODUCT OF THE TWO MEAN TERMS.
УелЯдб 165 - If four magnitudes are in proportion, the product of the two extremes is equal to the product of the two means.
УелЯдб 129 - Petersburg owes 1000 ducats in Berlin, which he wishes to pay in rubles by the way of Holland; and he has for the data of his operation, the following information, viz. That 1 ruble gives 47^ stivers; that 20 stivers make 1 florin...
УелЯдб 51 - The reason for this rule is the same, in reality, as that for the preceding one. 37. |i'or, multiplying the numerator of the dividend by the denominator of the divisor multiplies the dividend by that number.
УелЯдб 196 - OScts. lm.+ 10. 1f 248 men in 5 days of 1 1 hours each, dig a trench 230 yards long, 3 yards wide and 2 deep ; in how many days of 9 hours long, will 24 men dig a trench 420 yards long, 5 wide and 3 deep ? Aus 288^*^ days.