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By mental calculation, it is easier to multiply 16 by 3 ⁄ 16 than to do the same calculation using the fraction's decimal equivalent (0.1875). And it is more precise (exact, in fact) to multiply 15 by 1 ⁄ 3 , for example, than it is to multiply 15 by any decimal approximation of one third.
16:45, 18 August 2015: 1,068 × 603 (73 KB) Devon Fyson: Rotated, changed font to a supported monospace, fixed title. 19:23, 24 October 2007: 629 × 1,135 (39 KB) Three-quarter-ten {{Information |Description=A handy chart of decimal-fraction equivalents, 0 to 1 by 64ths. Prints nicely as 11x17 in landscape orientation.
A hundredth is written as a decimal fraction as 0.01, and as a vulgar fraction as 1/100. [2] “Hundredth” is also the ordinal number that follows “ninety-ninth” and precedes “hundred and first.” It is written as 100th.
Any such symbol can be called a decimal mark, decimal marker, or decimal sign. Symbol-specific names are also used; decimal point and decimal comma refer to a dot (either baseline or middle ) and comma respectively, when it is used as a decimal separator; these are the usual terms used in English, [ 1 ] [ 2 ] [ 3 ] with the aforementioned ...
Decimals are also to be used instead of fractions, as in "3.5 percent of the gain" and not "3 + 1 ⁄ 2 percent of the gain". However the titles of bonds issued by governments and other issuers use the fractional form, e.g. " 3 + 1 ⁄ 2 % Unsecured Loan Stock 2032 Series 2".
so 3 × 17 = 30 + 21 = 51. This is the "grid" or "boxes" structure which gives the multiplication method its name. Faced with a slightly larger multiplication, such as 34 × 13, pupils may initially be encouraged to also break this into tens. So, expanding 34 as 10 + 10 + 10 + 4 and 13 as 10 + 3, the product 34 × 13 might be represented:
1 ⁄ 3: 0.333... Vulgar Fraction One Third 2153 8531 ⅔ 2 ⁄ 3: 0.666... Vulgar Fraction Two Thirds 2154 8532 ⅕ 1 ⁄ 5: 0.2 Vulgar Fraction One Fifth 2155 8533 ⅖ 2 ⁄ 5: 0.4 Vulgar Fraction Two Fifths 2156 8534 ⅗ 3 ⁄ 5: 0.6 Vulgar Fraction Three Fifths 2157 8535 ⅘ 4 ⁄ 5: 0.8 Vulgar Fraction Four Fifths 2158 8536 ⅙ 1 ⁄ 6: 0 ...
In the second step, they were divided by 3. The final result, 4 / 3 , is an irreducible fraction because 4 and 3 have no common factors other than 1. 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