Question 158417
Hi, Hope I can help
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what is the answer for {{{ x/5=10/13 }}}
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You have to get "x" by itself, to get rid of the fraction and solve for "x" you would just multiply each side by "5"
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{{{ (x/5)(5)=(10/13)(5) }}} = {{{ (x/5)(5/1)=(10/13)(5/1) }}} = {{{ (x/highlight(5))(highlight(5)/1)=(10/13)(5/1) }}} = {{{ (x/cross(5))(cross(5)/1)=(10/13)(5/1) }}} = {{{ x = (10/13)(5/1) }}} = {{{ x = 50/13 }}}
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 x = {{{50/13 }}}, we can check our answer by replacing "x" with {{{ 50/13 }}} in our equation
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{{{ x/5=10/13 }}} = {{{ (50/13)/5=10/13 }}} = {{{ (50/13)/(5/1)=10/13 }}} = {{{ (50/13)(1/5)=10/13 }}} = {{{ 50/65=10/13 }}} = {{{ ((10)(5))/(13)(5))=10/13 }}} = {{{ ((10)highlight(5))/(13)highlight(5))=10/13 }}} = {{{ ((10)cross(5))/(13)cross(5))=10/13 }}} = {{{ 10/13=10/13 }}} (True)
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 x = {{{50/13 }}}
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You can also solve the answer this way, {{{ x/5=10/13 }}}
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Since these are equal fractions, we can use cross multiplication
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{{{ highlight(x)/5=10/highlight(13) }}} = {{{ x/highlight(5)=highlight(10)/13 }}} = {{{ x(13)=(5)(10)}}} = {{{ 13x =50}}}
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To find "x" divide each side by "13"
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{{{ 13x =50}}} = {{{ 13x/13 =50/13}}} = {{{ highlight(13)x/highlight(13) =50/13}}} = {{{ cross(13)x/cross(13) =50/13}}} = {{{ x =50/13}}}
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You can also check by using cross multiplication(replace "x" with {{{ 50/13 }}} )
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{{{ x/5=10/13 }}} = {{{ (50/13)/5=10/13 }}} = {{{ highlight(50/13)/5=10/highlight(13) }}} = {{{ (50/13)/highlight(5)=highlight(10)/13 }}} = {{{ (50/13)(13) = (5)(10) }}} = {{{ 50 = 50 }}} (True)
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 x = {{{50/13 }}}
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Hope I helped, Levi