The Common School Arithmetic: Combining Analysis and Synthesis : Adapted to the Best Mode of Instruction in the Elements of Written Arithmetic |
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Page 93
... fraction . 134. A SIMPLE FRACTION has but one numerator and one denominator , and is either proper or improper ; as , 3 , § , 17 . 135. A COMPOUND FRACTION is a fraction of a fraction ; as , of , of 3 of 8 . 136. A MIXED NUMBER is a whole ...
... fraction . 134. A SIMPLE FRACTION has but one numerator and one denominator , and is either proper or improper ; as , 3 , § , 17 . 135. A COMPOUND FRACTION is a fraction of a fraction ; as , of , of 3 of 8 . 136. A MIXED NUMBER is a whole ...
Page 94
... number by the denominator of the fraction ; to the product add the numerator , and under the sum write the ... mixed number to an improper fraction ? Reason An integer , how reduced to a fractional form ? PROBLEM 2 . 140. To reduce an ...
... number by the denominator of the fraction ; to the product add the numerator , and under the sum write the ... mixed number to an improper fraction ? Reason An integer , how reduced to a fractional form ? PROBLEM 2 . 140. To reduce an ...
Page 95
... fraction to a whole or mixed number . Ex . 1. How many units in 13 ? = 13 ÷ 4 = 3 , Ans . Ans . 31 . Since the numerator is a dividend and the denomina . tor a divisor ( Art . 131 ) , the fraction is reduced to an equivalent whole or mixed ...
... fraction to a whole or mixed number . Ex . 1. How many units in 13 ? = 13 ÷ 4 = 3 , Ans . Ans . 31 . Since the numerator is a dividend and the denomina . tor a divisor ( Art . 131 ) , the fraction is reduced to an equivalent whole or mixed ...
Page 97
... fraction in smaller terms . 3. Multiply by 5 . Ans . J. 4. Multiply by 11 . Ans . or 14 . 5. Multiply by 4 . X417 , by Rule 1 ; or , 3 X4 = by Rule 2 . 41 ' NOTE 3. The first rule is preferable ... mixed number by an 9 COMMON FRACTIONS . 97.
... fraction in smaller terms . 3. Multiply by 5 . Ans . J. 4. Multiply by 11 . Ans . or 14 . 5. Multiply by 4 . X417 , by Rule 1 ; or , 3 X4 = by Rule 2 . 41 ' NOTE 3. The first rule is preferable ... mixed number by an 9 COMMON FRACTIONS . 97.
Page 98
... mixed number by an integer : Multiply the fractional part and the entire part separately , and add the products together ; or , reduce the mixed number to an improper fraction ( Art . 139 ) , and then multiply . 21. Multiply 3 by 5 ...
... mixed number by an integer : Multiply the fractional part and the entire part separately , and add the products together ; or , reduce the mixed number to an improper fraction ( Art . 139 ) , and then multiply . 21. Multiply 3 by 5 ...
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Common terms and phrases
acres of land amount annex bill Bought bushels called cent ciphers common fraction complex fraction composite number compound interest compound numbers computed contains cords cost cube decimal diameter difference discount divi Divide dividend divisible dollars equal example Explain Ex farthings feet figure gallons given number gives greatest common divisor Hence higher denominations hundred improper fraction interest of $1 least common multiple longitude lower denomination marked price measure meters miles minuend mixed number months multiplicand Multiply NOTE number of terms OPERATION ounces payment pence pounds prime factors prime number principal PROBLEM quarts quotient ratio Reduce rods Rule for finding shillings simple fraction sold square root subtract subtrahend TABLE tens thousand tion tons trial divisor Troy Weight true remainder units weight whole number wide worth yards of cloth
Popular passages
Page 105 - Multiplying or dividing both terms of a fraction by the same number does not change its value.
Page 76 - Thirty days hath September, April, June, and November ; All the rest have thirty-one, Except the second month alone, Which has but twenty-eight, in fine, Till leap year gives it twenty-nine.
Page 274 - ... has been taken as a factor as many times as there are units in the index of the required power. Ex. 1.
Page 69 - SQUARE MEASURE 144 square inches (sq. in.) = 1 square foot (sq. ft.) 9 square feet = 1 square yard (sq. yd.) 30| square yards = 1 square rod (sq. rd.) 160 square rods = 1 acre (A.) 640 acres = 1 square mile (sq.
Page 283 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.
Page 144 - TABLE. 10 Mills (m.) = 1 Cent . . ct. 10 Cents = 1 Dime . . d. 10 Dimes = 1 Dollar . $. 10 Dollars = 1 Eagle . E.
Page 42 - Division is the process of finding how many times one number is contained in another, or of finding one of the equal parts of a number.
Page 10 - How does moving a figure towards the left affect its value! make one ten, ten tens make one hundred, ten hundreds make one thousand, and, in short, ten units of any order make one unit of the next higher order.
Page 64 - TABLE. 16 Drams (dr.) make 1 Ounce, oz. 16 Ounces " 1 Pound, Ib. 25 Pounds " 1 Quarter, qr. 4 Quarters " 1 Hundred Weight, cwt. 20 Hundred Weight
Page 272 - When the quantity of one simple is given, after finding the proportional quantities, by the above rule, we may say, As the PROPORTIONAL quantity : is to the GIVEN quantity : : so is each of the other PROPORTIONAL quantities : to the REQUIRED quantities of each.