{"id":233805,"date":"2025-06-13T12:27:13","date_gmt":"2025-06-13T12:27:13","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=233805"},"modified":"2025-06-13T12:27:16","modified_gmt":"2025-06-13T12:27:16","slug":"cominon-fraction-decimal-fraction-percentage-common-fraction","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/13\/cominon-fraction-decimal-fraction-percentage-common-fraction\/","title":{"rendered":"Cominon fraction Decimal fraction Percentage Common fraction"},"content":{"rendered":"\n<p>Cominon fraction Decimal fraction Percentage Common fraction a) 0,43 43% b) 0,10 10% 0,59 59% 0,25 25% 0,87 87% 0,10 70% c) 9\/10<\/p>\n\n\n\n<p>d) 0,3 0,90 90% 3% 3\/50<\/p>\n\n\n\n<p>0,150 150% 8\/25<\/p>\n\n\n\n<p>0,200 200% 13\/20<\/p>\n\n\n\n<p>0,260 260%<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To complete the table and understand the relationship between <strong>decimal fractions<\/strong>, <strong>common fractions<\/strong>, and <strong>percentages<\/strong>, we follow these basic principles:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Decimal to Percentage<\/strong>: Multiply the decimal by 100.<\/li>\n\n\n\n<li><strong>Percentage to Decimal<\/strong>: Divide the percentage by 100.<\/li>\n\n\n\n<li><strong>Decimal to Common Fraction<\/strong>: Write the decimal as a fraction and simplify if possible.<\/li>\n\n\n\n<li><strong>Common Fraction to Decimal<\/strong>: Divide the numerator by the denominator.<\/li>\n\n\n\n<li><strong>Common Fraction to Percentage<\/strong>: Divide the numerator by the denominator, then multiply by 100.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\u2705 Completed Table:<\/h3>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>Decimal<\/th><th>Common Fraction<\/th><th>Percentage<\/th><\/tr><\/thead><tbody><tr><td>a) 0.43<\/td><td>43\/100<\/td><td>43%<\/td><\/tr><tr><td>b) 0.10<\/td><td>1\/10<\/td><td>10%<\/td><\/tr><tr><td><\/td><td>59\/100<\/td><td>59%<\/td><\/tr><tr><td>0.25<\/td><td>1\/4<\/td><td>25%<\/td><\/tr><tr><td>0.87<\/td><td>87\/100<\/td><td>87%<\/td><\/tr><tr><td>0.70<\/td><td>7\/10<\/td><td>70%<\/td><\/tr><tr><td>c) 0.90<\/td><td>9\/10<\/td><td>90%<\/td><\/tr><tr><td><\/td><td>3\/100<\/td><td>3%<\/td><\/tr><tr><td><\/td><td>3\/50<\/td><td>6%<\/td><\/tr><tr><td>0.150<\/td><td>3\/20<\/td><td>15%<\/td><\/tr><tr><td><\/td><td>8\/25<\/td><td>32%<\/td><\/tr><tr><td>0.200<\/td><td>1\/5<\/td><td>20%<\/td><\/tr><tr><td><\/td><td>13\/20<\/td><td>65%<\/td><\/tr><tr><td>0.260<\/td><td>13\/50<\/td><td>26%<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">\ud83d\udcd8 Explanation<\/h3>\n\n\n\n<p>When converting between <strong>decimal fractions<\/strong>, <strong>common fractions<\/strong>, and <strong>percentages<\/strong>, we are expressing the same value in different formats.<\/p>\n\n\n\n<p>A <strong>decimal fraction<\/strong> is a number written in base-10 with a decimal point. A <strong>percentage<\/strong> is a fraction out of 100, which means \u201cper hundred.\u201d A <strong>common fraction<\/strong> represents a division between two integers, such as 1\/4 or 7\/10.<\/p>\n\n\n\n<p>To <strong>convert a decimal to a percentage<\/strong>, we multiply the decimal number by 100. For example, 0.43\u00d7100=43%0.43 \\times 100 = 43\\%0.43\u00d7100=43%. This tells us that 0.43 is equivalent to 43 out of 100.<\/p>\n\n\n\n<p>To convert a decimal to a <strong>common fraction<\/strong>, we write it as a fraction with a power of 10 in the denominator. For example, 0.25=251000.25 = \\frac{25}{100}0.25=10025\u200b, which simplifies to 14\\frac{1}{4}41\u200b. Always reduce the fraction to its lowest terms.<\/p>\n\n\n\n<p>To convert a <strong>percentage to a decimal<\/strong>, we divide the percentage by 100. So, 87% becomes 87100=0.87\\frac{87}{100} = 0.8710087\u200b=0.87.<\/p>\n\n\n\n<p>To convert a <strong>common fraction to a decimal<\/strong>, divide the numerator by the denominator:<br>For example, 825=0.32\\frac{8}{25} = 0.32258\u200b=0.32, then multiply by 100 to get the percentage: 0.32\u00d7100=32%0.32 \\times 100 = 32\\%0.32\u00d7100=32%.<\/p>\n\n\n\n<p>Understanding how to move between these formats helps in math, finance, statistics, and everyday life when interpreting data, sales, and measurements.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-334.jpeg\" alt=\"\" class=\"wp-image-233806\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Cominon fraction Decimal fraction Percentage Common fraction a) 0,43 43% b) 0,10 10% 0,59 59% 0,25 25% 0,87 87% 0,10 70% c) 9\/10 d) 0,3 0,90 90% 3% 3\/50 0,150 150% 8\/25 0,200 200% 13\/20 0,260 260% The Correct Answer and Explanation is: To complete the table and understand the relationship between decimal fractions, common 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