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Using Fractions, Decimals, and Percents to Solve I. /P�C��S�AY��$lI%���m, ��w������ߑ΢�dC9�zɾ^rL/�R�� W�D�"�� 3 0 obj <> katex.render("\\frac{1}{2} = 50\\%", typed01);1/2 = 50%, katex.render("\\frac{1}{3} = 33\\,\\frac{1}{3}\\%", typed02);1/3 = 33 1/3%, katex.render("\\frac{2}{3} = 66\\,\\frac{2}{3}\\%", typed03);2/3 = 66 2/3%, katex.render("\\frac{1}{4} = 25\\%", typed04);1/4 = 25%, katex.render("\\frac{3}{4} = 75\\%", typed05);3/4 = 75%, katex.render("\\frac{1}{5} = 20\\%", typed06);1/5 = 20%, katex.render("\\frac{2}{5} = 40\\%", typed07);2/5 = 40%, katex.render("\\frac{3}{5} = 60\\%", typed08);3/5 = 60%, katex.render("\\frac{4}{5} = 80\\%", typed09);4/5 = 80%, katex.render("\\frac{1}{6} = 16\\,\\frac{2}{3}\\%", typed10);1/6 = 16 2/3%, katex.render("\\frac{5}{6} = 83\\,\\frac{1}{3}\\%", typed11);5/6 = 83 1/3%, katex.render("\\frac{1}{7} = 14\\,\\frac{2}{7}\\%", typed12);1/7 = 14 2/7%, katex.render("\\frac{2}{7} = 28\\,\\frac{4}{7}\\%", typed13);2/7 = 28 4/7%, katex.render("\\frac{3}{7} = 42\\,\\frac{6}{7}\\%", typed14);3/7 = 42 6/7%, katex.render("\\frac{4}{7} = 57\\,\\frac{1}{7}\\%", typed15);4/7 = 57 1/7%, katex.render("\\frac{5}{7} = 71\\,\\frac{3}{7}\\%", typed16);5/7 = 71 3/7%, katex.render("\\frac{6}{7} = 85\\,\\frac{5}{7}\\%", typed17);6/7 = 85 5/7%, katex.render("\\frac{1}{8} = 12\\,\\frac{1}{2}\\%", typed18);1/8 = 12 1/2%, katex.render("\\frac{3}{8} = 37\\,\\frac{1}{2}\\%", typed19);3/8 = 37 1/2%, katex.render("\\frac{5}{8} = 62\\,\\frac{1}{2}\\%", typed20);5/8 = 62 1/2%, katex.render("\\frac{7}{8} = 87\\,\\frac{1}{2}\\%", typed21);7/8 = 87 1/2%, katex.render("\\frac{1}{9} = 11\\,\\frac{1}{9}\\%", typed22);1/9 = 11 1/9%, katex.render("\\frac{2}{9} = 22\\,\\frac{2}{9}\\%", typed23);2/9 = 22 2/9%, katex.render("\\frac{4}{9} = 44\\,\\frac{4}{9}\\%", typed24);4/9 = 44 4/9%, katex.render("\\frac{5}{9} = 55\\,\\frac{5}{9}\\%", typed25);5/9 = 55 5/9%, katex.render("\\frac{7}{9} = 77\\,\\frac{7}{9}\\%", typed26);7/9 = 77 7/9%, katex.render("\\frac{8}{9} = 88\\,\\frac{8}{9}\\%", typed27);8/9 = 88 8/9%, katex.render("\\frac{1}{10} = 10\\%", typed28);1/10 = 10%, katex.render("\\frac{3}{10} = 30\\%", typed29);3/10 = 30%, katex.render("\\frac{7}{10} = 70\\%", typed30);7/10 = 70%, katex.render("\\frac{9}{10} = 90\\%", typed31);9/10 = 90%, katex.render("\\frac{1}{11} = 9\\,\\frac{1}{11}\\%", typed32);1/11 = 9 1/11%, katex.render("\\frac{2}{11} = 18\\,\\frac{2}{11}\\%", typed33);2/11 = 18 2/11%, katex.render("\\frac{3}{11} = 27\\,\\frac{3}{11}\\%", typed34);3/11 = 27 3/11%, katex.render("\\frac{4}{11} = 36\\,\\frac{4}{11}\\%", typed35);4/11 = 36 4/11%, katex.render("\\frac{1}{12} = 8\\,\\frac{1}{3}\\%", typed36);1/12 = 8 1/3%. For instance, I don't list . To find the whole-number part of the percentage, multiply the numerator by 9, and affix the original fraction and then the "%" sign. x��Zmo�8�����M>l�ME�6I9lw��9���k+�q��s�v����bR����"�,����g�C��ثW�n�Y~y��\_��������.� 5% = 48% = .3% = 1.15% = Fraction Decimal Percent 2 1 9% .625 28% 9 2.3 2 5 1 108% . In the tables below, I have listed fractions with denominators between 2 and 10 (plus some elevenths and twelfths). 2 0 obj FRACTION to PERCENT 1) Divide the top number by the bottom number to get a decimal 2) Take the decimal and move it two places to the right ALWAYS REDUCE! And, yes, the elevenths, all the way through to katex.render("\\frac{10}{11}", typed80);10/11, are repeated multiples of 9: 0909, 1818, 2727, on up to 9090. &5��� �����F2������\�,�Ei�`_fg@Ƶrp�F������ﳳ���n~����j���u�]�����������3Z�w_��~1?����m��a� PERCENT to FRACTION 1) Change the percent to a decimal by moving the decimal two places to the left. Curious note: The elevenths convert to percentage for in terms of 9s. stream Don't feel like you "have" to memorize these fractions and their equivalents — you don't — but you should at least be familiar with the nice neat decimal equivalents, such as for the eighths and fourths, and the easy repeating decimals, like for the thirds and ninths. First, change the percent to a fraction. T�UA-�/ ��$�@�x����ۅXK�0�D�m�~ll~+t,�o˕1��O��C'%��Z���)X�m]��~嫭��t=_���0�Ug��+��}���ҀR�v ��m��W^xd�Z*�r��0#�Q��D8supŃ� ��lf�����az���P��$n�Q�! The only difference, in the various expansions, is where in the pattern the expansion starts — which is sometimes in the middle of one of the numbers in the sequence! 2) Change the decimal to a fraction by following the steps on this page. Web Design by. Also, I have listed fractions only in their lowest denominators. Also, I have listed fractions only in their lowest denominators. inches millimeters.515625 13.096 .53125 13.493 .546875 13.890.5625 14.287 .578125 14.684.59375 15.081 .609375 15.478.625 15.875 .640625 16.271 For instance, I don't list katex.render("\\frac{2}{6}", preface01);2/6 because it's equal to katex.render("\\frac{1}{3}", preface);1/3, which is covered in the "thirds" section of the tables. Percent to DecimalPercent to FractionDecimal to FractionDecimal to PercentFraction to DecimalFraction to PercentEquivalents. Decimal to Fraction To convert a decimal to a fraction - write it like you say it, then simplify, if needed. Percent to Decimal URL: https://www.purplemath.com/modules/percents4.htm, © 2020 Purplemath. endobj Weird, huh? 4 0 obj Simplify if possible. All right reserved. Percent to Decimal Percent to Fraction Decimal to Fraction Decimal to Percent Fraction to Decimal Fraction to Percent Equivalents. .7 “seven tenths” 10 7 4.28 “four and twenty eight hundredths” 4 100 28 = 4 7 25 Decimal to Percent To convert a decimal to a percent - move the decimal point two places to the RIGHT and add a percent sign. Cypress College Math Department – CCMR Notes Fractions, Decimals, and Percentages, Page 1 of 9 Fractions, Decimals and Percentages Objective 1: Convert between Fractions and Decimals 10 Example: Fill in the following chart converting between fraction and decimal numbers. 'a-���W����~��xd�X�_HZ�uO�~ ^��#�c8q��si/5|yy��Sԟo�����kiX;$�?sY�#���?�ؚI%�]C}+�=�D��Z��{ <>/XObject<>/ProcSet[/PDF/Text/ImageB/ImageC/ImageI] >>/MediaBox[ 0 0 612 792] /Contents 4 0 R/Group<>/Tabs/S/StructParents 0>> Purplemath. They all contain the exact same sequence of digits: 5, 7, 14, and 28. 3 150. : 1.5% 10 50/0* 50 % . <>>> 1 0 obj After the 5, we get the first four multiples of 7. Decimals & Fractions Examples To change a decimal to a fraction: use the place value of the last digit 0.85 = 100 85 = 20 17 To change a fraction to a decimal: divide the top by the bottom 5 4 = 4 ÷ 5 = 0.8 Fractions, Decimals & % Examples 64% = 64 To write a % as a fraction or decimal, divide by 100 ÷ 100 = 0.64 64% = 100 64 = 25 16 0.1 endobj %���� katex.render("\\frac{1}{2} = 0.5", typed40);1/2 = 0.5. katex.render("\\frac{1}{3} = 0.3333...", typed41);1/3 = 0.3333... katex.render("\\frac{2}{3} = 0.6666...", typed42);2/3 = 0.6666... katex.render("\\frac{1}{4} = 0.25", typed43);1/4 = 0.25, katex.render("\\frac{3}{4} = 0.75", typed44);3/4 = 0.75, katex.render("\\frac{1}{5} = 0.2", typed45);1/5 = 0.2, katex.render("\\frac{2}{5} = 0.4", typed46);2/5 = 0.4, katex.render("\\frac{3}{5} = 0.6", typed47);3/5 = 0.6, katex.render("\\frac{4}{5} = 0.8", typed48);4/5 = 0.8. katex.render("\\frac{1}{6} = 0.16666...", typed49);1/6 = 0.1666... katex.render("\\frac{5}{6} = 0.83333...", typed50);5/6 = 0.8333... katex.render("\\frac{1}{7} = 0.142857\\,142857...", typed51);1/7 = 0.142857 142857... katex.render("\\frac{2}{7} = 0.285714\\,285714...", typed52);2/7 = 0.285714 285714... katex.render("\\frac{3}{7} = 0.428571\\,428571...", typed53);3/7 = 0.428571 428571... katex.render("\\frac{4}{7} = 0.571428\\,571428...", typed54);4/7 = 0.571428 571428... katex.render("\\frac{5}{7} = 0.714285\\,714285...", typed55);5/7 = 0.714285 714285... katex.render("\\frac{6}{7} = 0.857142\\,857142...", typed56);6/7 = 0.857142 857142... katex.render("\\frac{1}{8} = 0.125", typed57);1/8 = 0.125, katex.render("\\frac{3}{8} = 0.375", typed58);3/8 = 0.375, katex.render("\\frac{5}{8} = 0.625", typed59);5/8 = 0.625, katex.render("\\frac{7}{8} = 0.875", typed60);7/8 = 0.875. katex.render("\\frac{1}{9} = 0.1111...", typed61);1/9 = 0.111... katex.render("\\frac{2}{9} = 0.2222...", typed62);2/9 = 0.222... katex.render("\\frac{4}{9} = 0.4444...", typed63);4/9 = 0.444... katex.render("\\frac{5}{9} = 0.5555...", typed64);5/9 = 0.555... katex.render("\\frac{7}{9} = 0.7777...", typed65);7/9 = 0.777... katex.render("\\frac{8}{9} = 0.8888...", typed66);8/9 = 0.888... katex.render("\\frac{1}{10} = 0.1", typed67);1/10 = 0.1, katex.render("\\frac{3}{10} = 0.3", typed68);3/10 = 0.3, katex.render("\\frac{7}{10} = 0.7", typed69);7/10 = 0.7, katex.render("\\frac{9}{10} = 0.9", typed70);9/10 = 0.9. katex.render("\\frac{1}{11} = 0.090909...", typed71);1/11 = 0.090909... katex.render("\\frac{2}{11} = 0.181818...", typed72);2/11 = 0.181818... katex.render("\\frac{3}{11} = 0.272727...", typed73);3/11 = 0.272727... katex.render("\\frac{4}{11} = 0.363636...", typed74);4/11 = 0.363636... katex.render("\\frac{1}{12} = 0.083333...", typed75);1/12 = 0.08333... Another curious note: Check out the decimal expansions for the sevenths.

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