Respuesta :
Answer:
x=18/15, or 1[tex]\frac{1}{5}[/tex]
Step-by-step explanation:
Convert 7/3 into a fraction with denominator 15. Multiply both sides by 5 to get 35/15. Now, we add 1/15 to it to cancel out on both sides.
Our new equation is 2x=36/15
Divide by 2 on both sides
x=18/15, or 1[tex]\frac{1}{5}[/tex]
[tex]\bold{Hello!}\\\bold{Your~Answer~Is~Below!}[/tex]
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[tex]\bold{Solution~Steps:}[/tex]
[tex]1.)~Add~\frac{1}{15}~to~both~sides:[/tex]
- [tex]\bold{\frac{7}{3}+\frac{1}{15}=\frac{35}{15} }[/tex]
- [tex]\bold{Least~common~multiple~of~3~and~15~is~15.}[/tex]
[tex]\bold{Convert~\frac{7}{3}~and~\frac{1}{15}~to~fractions~with~d.enominator~15.}[/tex]
- [tex]\bold{\frac{35}{15}+\frac{1}{15}=\frac{36}{15} }[/tex]
- [tex]\bold{Since~\frac{35}{15}~and~\frac{1}{15}~have~the~same~d.enominator,}[/tex]
[tex]\bold{Add~them~by~adding\\~their~numerators.}[/tex]
[tex]2.)~Reduce~the~fraction~\frac{36}{15} :[/tex]
- [tex]\bold{\frac{36}{15}=\frac{12}{5}}[/tex]
- [tex]\bold{Reduce~the~fraction~to~lowest~terms~by~extracting~and~canceling~out~3.}[/tex]
[tex]3.)~Divide~both~sides~by~2:[/tex]
- [tex]\bold{\frac{12}{5}}[/tex] ÷ [tex]\bold{2= ?}[/tex]
- [tex]\bold{Express~\frac{12}{5}/5~as~a~single~fraction.}[/tex]
- [tex]\bold{\frac{12}{5*2}}[/tex]
- [tex]\bold{Multiply~5~and~2.}[/tex]
- [tex]\bold{5}[/tex] × [tex]\bold{2=10}[/tex]
- [tex]\bold{\frac{12}{10}}[/tex]
[tex]4.)~Reduce~the~fraction~\frac{12}{10}:[/tex]
- [tex]\bold{\frac{6}{5}}[/tex]
- [tex]\bold{Reduce~the~fraction~to~lowest~terms~by~extracting~and~canceling~out~2.}[/tex]
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[tex]\bold{Answer:}[/tex]
- [tex]\bold{Improper~Fraction~Form=\frac{6}{5}}[/tex]
- [tex]\bold{Mixed~Number~Form=1\frac{1}{5}}[/tex]
- [tex]\bold{Decimal~Form=1.2}[/tex]
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[tex]\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~~~-TotallyNotTrillex}[/tex]