{"id":167973,"date":"2024-11-16T15:25:05","date_gmt":"2024-11-16T15:25:05","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=167973"},"modified":"2024-11-16T15:25:07","modified_gmt":"2024-11-16T15:25:07","slug":"6-x-__-9","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/16\/6-x-__-9\/","title":{"rendered":"6 x __ = 9"},"content":{"rendered":"\n

6 x __<\/em> = 9<\/p>\n\n\n\n

6 times what number equals 9<\/p>\n\n\n\n

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

To solve the equation ( 6 \\times _ = 9 ), we need to determine what number, when multiplied by 6, equals 9. This can be solved using division.<\/p>\n\n\n\n

Step 1: Set up the equation<\/h3>\n\n\n\n

The equation is:<\/p>\n\n\n\n

[
6 \\times x = 9
]<\/p>\n\n\n\n

where ( x ) represents the unknown number we need to find.<\/p>\n\n\n\n

Step 2: Solve for ( x )<\/h3>\n\n\n\n

To isolate ( x ) on one side of the equation, we need to perform the opposite operation of multiplication, which is division. Divide both sides of the equation by 6:<\/p>\n\n\n\n

[
x = \\frac{9}{6}
]<\/p>\n\n\n\n

Step 3: Simplify the fraction<\/h3>\n\n\n\n

The fraction ( \\frac{9}{6} ) can be simplified. Both 9 and 6 have a common factor of 3. To simplify the fraction, divide both the numerator and the denominator by 3:<\/p>\n\n\n\n

[
x = \\frac{9 \\div 3}{6 \\div 3} = \\frac{3}{2}
]<\/p>\n\n\n\n

Thus, the solution to the equation is:<\/p>\n\n\n\n

[
x = \\frac{3}{2} \\quad \\text{or} \\quad x = 1.5
]<\/p>\n\n\n\n

Step 4: Verify the solution<\/h3>\n\n\n\n

To check our work, substitute ( x = 1.5 ) back into the original equation:<\/p>\n\n\n\n

[
6 \\times 1.5 = 9
]<\/p>\n\n\n\n

Since the equation is correct, ( x = 1.5 ) is indeed the solution.<\/p>\n\n\n\n

Explanation of the Process<\/h3>\n\n\n\n

To solve for ( x ), we used basic algebraic principles. The equation ( 6 \\times x = 9 ) is a simple multiplication equation, and isolating the variable involves dividing both sides of the equation by 6 to undo the multiplication. Simplifying the resulting fraction gave us the final answer. In everyday language, this process is like asking, “What number, when multiplied by 6, will give 9?” Dividing 9 by 6 gives the answer directly, which in this case is ( 1.5 ).<\/p>\n","protected":false},"excerpt":{"rendered":"

6 x __ = 9 6 times what number equals 9 The Correct Answer and Explanation is: To solve the equation ( 6 \\times _ = 9 ), we need to determine what number, when multiplied by 6, equals 9. This can be solved using division. Step 1: Set up the equation The equation is: […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-167973","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/167973","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=167973"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/167973\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=167973"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=167973"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=167973"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}