To find the product of 1\/2 and 7\/8<\/strong>, we multiply the two fractions:12\u00d778=1\u00d772\u00d78=716\\frac{1}{2} \\times \\frac{7}{8} = \\frac{1 \\times 7}{2 \\times 8} = \\frac{7}{16}21\u200b\u00d787\u200b=2\u00d781\u00d77\u200b=167\u200b<\/p>\n\n\n\n Now we compare 7\/16<\/strong> to 1\/2<\/strong>.<\/p>\n\n\n\n Since 1\/2<\/strong> is equal to 8\/16<\/strong>, and 7\/16<\/strong> is one part less than 8\/16<\/strong>, we know that:716<816=12\\frac{7}{16} < \\frac{8}{16} = \\frac{1}{2}167\u200b<168\u200b=21\u200b<\/p>\n\n\n\n When we multiply a fraction by a number, we are essentially taking that fraction of<\/strong> the number. In this case, we are finding one-half of seven-eighths<\/strong>. This is another way of asking, “What is half of 7\/8?” The answer is 7\/16.<\/p>\n\n\n\n To understand why 7\/16 is smaller than 1\/2, think of a pizza. Suppose the whole pizza is cut into 16 equal slices. If you have 8 out of the 16 slices, you have exactly half of the pizza. But if you only have 7 out of the 16 slices, you have less than half. This illustrates that 7\/16 is less than 1\/2.<\/p>\n\n\n\n The more general idea is that when you multiply a positive fraction by a number less than 1, the result is always smaller than the number you started with<\/strong>. Here, we multiplied 7\/8 by 1\/2. Since 1\/2 is less than 1, the result must be less than 7\/8. Also, since 7\/8 is greater than 1\/2, any smaller portion of 7\/8 (like half of it) will also be less than 1\/2.<\/p>\n\n\n\n This shows how multiplying fractions works: the smaller the number you multiply by (as long as it\u2019s positive and less than 1), the smaller the result. So, because we are multiplying 7\/8 by 1\/2, the product will always be less than 1\/2, unless the other number is 1. In this case, the product is 7\/16, which is clearly smaller than 1\/2.<\/p>\n\n\n\n Explain why the product of 1\/2 and 7\/8 is less than 1\/2. The Correct Answer and Explanation is: To find the product of 1\/2 and 7\/8, we multiply the two fractions:12\u00d778=1\u00d772\u00d78=716\\frac{1}{2} \\times \\frac{7}{8} = \\frac{1 \\times 7}{2 \\times 8} = \\frac{7}{16}21\u200b\u00d787\u200b=2\u00d781\u00d77\u200b=167\u200b Now we compare 7\/16 to 1\/2. Since 1\/2 is equal to 8\/16, and 7\/16 […]<\/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-25925","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/25925","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=25925"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/25925\/revisions"}],"predecessor-version":[{"id":25927,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/25925\/revisions\/25927"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=25925"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=25925"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=25925"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Explanation:<\/h3>\n\n\n\n
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<\/figure>\n","protected":false},"excerpt":{"rendered":"