{"id":46127,"date":"2025-07-01T19:35:15","date_gmt":"2025-07-01T19:35:15","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=46127"},"modified":"2025-07-01T19:35:17","modified_gmt":"2025-07-01T19:35:17","slug":"write-4-5-as-a-mixed-number-and-as-an-improper-fraction-2","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/write-4-5-as-a-mixed-number-and-as-an-improper-fraction-2\/","title":{"rendered":"Write 4.5 as a mixed number and as an improper fraction."},"content":{"rendered":"\n


Write 4.5 as a mixed number and as an improper fraction. Write your answers in simplest form. mixed number: improper fraction:<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

mixed number:<\/strong> 4 1\/2
improper fraction:<\/strong> 9\/2<\/p>\n\n\n\n

Explanation<\/h3>\n\n\n\n

The goal is to express the decimal number 4.5 in two different fractional forms: as a mixed number and as an improper fraction, ensuring both are in their simplest form.<\/p>\n\n\n\n

1. Converting to a Mixed Number<\/strong><\/p>\n\n\n\n

A mixed number consists of a whole number and a proper fraction. To convert 4.5, we first identify these two parts.<\/p>\n\n\n\n

    \n
  • The whole number is the digit to the left of the decimal point, which is\u00a04<\/strong>.<\/li>\n\n\n\n
  • The fractional part is the number to the right of the decimal point, which is 0.5.<\/li>\n<\/ul>\n\n\n\n

    To write 0.5 as a fraction, we look at its place value. The digit “5” is in the tenths place, so we can write it as 5\/10.<\/p>\n\n\n\n

    Now, we combine the whole number and the fraction to get the mixed number: 4 and 5\/10.<\/p>\n\n\n\n

    The final step is to simplify the fractional part, 5\/10. We find the greatest common divisor (GCD) of the numerator (5) and the denominator (10). The largest number that divides both 5 and 10 is 5. We divide both parts of the fraction by 5:<\/p>\n\n\n\n

      \n
    • 5 \u00f7 5 = 1<\/li>\n\n\n\n
    • 10 \u00f7 5 = 2<\/li>\n<\/ul>\n\n\n\n

      So, the simplified fraction is 1\/2. Replacing the original fraction with the simplified one gives us the final mixed number: 4 1\/2<\/strong>.<\/p>\n\n\n\n

      2. Converting to an Improper Fraction<\/strong><\/p>\n\n\n\n

      An improper fraction is a fraction where the numerator is greater than or equal to the denominator. We can find this by converting our simplified mixed number, 4 1\/2.<\/p>\n\n\n\n

      To do this, we multiply the whole number (4) by the denominator (2) and then add the numerator (1). This result becomes the new numerator. The denominator stays the same.<\/p>\n\n\n\n

        \n
      • Calculation: (4 \u00d7 2) + 1 = 8 + 1 = 9<\/li>\n<\/ul>\n\n\n\n

        The new numerator is 9, and the denominator remains 2. Therefore, the improper fraction is 9\/2<\/strong>. This fraction is already in its simplest form because the only number that divides both 9 and 2 is 1.<\/p>\n\n\n\n

        \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

        Write 4.5 as a mixed number and as an improper fraction. Write your answers in simplest form. mixed number: improper fraction: The Correct Answer and Explanation is: mixed number: 4 1\/2improper fraction: 9\/2 Explanation The goal is to express the decimal number 4.5 in two different fractional forms: as a mixed number and as an improper fraction, […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-46127","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/46127","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=46127"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/46127\/revisions"}],"predecessor-version":[{"id":46130,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/46127\/revisions\/46130"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=46127"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=46127"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=46127"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}