The answer is: " 3:5" ; or, write as: "3/5<span>" . </span>___________________________________________________ Explanation: ___________________________________________________ "60%" = 60/100 = 60 ÷ 100" ; so take: "60" ; and move the decimal back TWO (2) places (since "100" has "two zeros" ; and since we are DIVIDING) ;
Note: Since we are "dividing"; we move the decimal BACK (to the LEFT).
→ that is: treat "60" as: "60." ; and move the "implied decimal" back two spaces; to get: "0.60" ; which simplies to: "0.6" ;
→ 0.6 = 6/10 ; which reduces: "6/10 = (6÷2)/(10÷2) = 3/5 ; or, write as: "3:5". _______________________________________________________ Other methods: ________________________________________________________ "60%" = 60/100 ; cancel out 'one zero' from both the numerator and the denominator; which is the same as: "60/100 = (60÷10)/(100÷10) = 6/10 ; Then reduce to: "3/5"; or write as: "3:5" ; as explained above. ________________________________________________________ Other method: Use calculator: "60%" to get: "0.6" and write as "6/10" and—as aforementioned— reduce to: "3/5" (unless your calculator does not automatically include this fraction mode as well); and write the answer as: "3/5" ; or "3:5" .
→ Alternately, using a calculator: "60 ÷ 100" ; and follow through using the directly aforementioned method—as well as the aforementioned methods, if needed; to ultimately get: "0.6" —which equals: "6/10"—and ultimately get: "3/5" ; or, write as: "3:5" . _________________________________________________________ Hope this explanation, albeit lengthy, is helpful _________________________________________________________
If the relationship between two quantities is a proportional relationship, this relationship can be represented by the graph of a straight line through the origin with a slope equal to the unit rate.
