D. Perform the Indicated operations. Reduce fractions to lowest term if necessary. Write your final answers on the space provided.
[tex]\huge\huge\color{violet}{{\tt{ \frac{4}{6} + \frac{1}{3} }}}[/tex]
Reduce the fraction 4/6 to lowest terms by extracting and canceling out 2.
[tex]\huge\huge\color{red}{{\tt{ \frac{2}{3} + \frac{1}{3} }}}[/tex]
Since 2/3 and 1/3 have the same denominator, add them by adding their numerators.
[tex]\huge\huge\color{red}{{\tt{ \frac{2 + 1}{3} }}}[/tex]
Add 2 and 1 to get 3.
[tex]\huge\huge\color{red}{{\tt{ \frac{3}{3} }}}[/tex]
Divide 3 by 3 to get 1.
Answer:
[tex]\huge\huge\color{violet}{{\tt{1}}}[/tex]
[tex]\huge\huge\color{pink}{\boxed{\tt{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }}}[/tex]
[tex]\huge\huge\color{violet}{{\tt{2 \ \frac{3}{10} + 3\frac{1}{10} }}}[/tex]
Multiply 2 and 10 to get 20.
[tex]\huge\huge\color{red}{{\tt{ \frac{20 + 3}{10} + \frac{3 \times10+1}{10} }}}[/tex]
Add 20 and 3 to get 23.
[tex]\huge\huge\color{red}{{\tt{ \frac{23}{10} + \frac{3 \times10+1}{10} }}}[/tex]
Multiply 3 and 10 to get 30.
[tex]\huge\huge\color{red}{{\tt{ \frac{23}{10}+ \frac{30 + 1}{10} }}}[/tex]
Add 30 and 1 to get 31.
[tex]\huge\huge\color{red}{{\tt{ \frac{23}{10} + \frac {31}{10} }}}[/tex]
Since 23/10 and 31/10 have the same denominator, add them by adding their numerators.
[tex]\huge\huge\color{red}{{\tt{ \frac{23 + 31}{10} }}}[/tex]
Add 23 and 31 to get 54.
[tex]\huge\huge\color{red}{{\tt{ = \frac{54}{10} }}}[/tex]
Reduce the fraction 54/10 to lowest terms by extracting and canceling out 2.
Answer:
[tex]\huge\huge\color{red}{{\tt{ = \frac{27}{5} }}}[/tex]
Study hard!
