MATH
5. Simplify: 1 1/2 + 2 4/7 = 4 1/14
6. Simplify: 3 1/2 – 1 3/4 = 1 3/4
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SOLUTIONS:
5.) Simplify: 1 1/2 + 2 4/7 =
[tex] \sf{ 1\frac{1}{2} + 2\frac{4}{7} = } \: \bold{?}[/tex]
[tex] \sf{ \frac{3}{2} + \frac{18}{7}} [/tex]
Find the LCD
[tex]\implies \sf{ \frac{3 \times 7}{2 \times 7} = { \bold{ \frac{21}{14}}}} \\ \\ \implies { \sf{ \frac{18 \times 2}{7 \times 2} = { \bold{ \frac{36}{14}}}}}[/tex]
[tex] \sf{ \frac{21}{14} + \frac{36}{14} } \: { = } \: { \boxed{ \ \frac{57}{14}} }[/tex]
Reduce the fraction 57/14,
[tex] \sf{ = 57 \div 14 }[/tex]
[tex] \sf{ = 4 \: {\bold{r}{ \sf{1}}}}[/tex]
Therefore, the answer is,
[tex] \green{ \boxed{ \boxed{4 \frac{1}{14}}}} [/tex]
[tex] \huge \color{red}{ \underline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }}[/tex]
6. Simplify: 3 1/2 – 1 3/4 =
[tex] \sf{3 \frac{1}{2} - 1 \frac{3}{4} }[/tex]
[tex] \sf{ \frac{7}{2} - \frac{7}{2}} [/tex]
Find the LCD
[tex] \implies \sf{ \frac{7 \times 4}{2 \times 4} = \bold{ \frac{28}{8} }} \\ \\ \implies \sf{ \frac{7 \times 2}{4 \times 2} = \frac{14}{8} }[/tex]
[tex] \sf{ \frac{28}{8} - \frac{14}{8} } = { \boxed{ \frac{14}{8} }}[/tex]
Reduce the fraction 14/8,
[tex] \sf{ = \frac{14 \div 2}{8 \div 2} = {\boxed {\frac{7}{4} }}}[/tex]
Reduce again the fraction 7/4
[tex] \sf{ = 7 \div 4}[/tex]
[tex] \sf{ = 1 \: \bold{r} \sf{3}}[/tex]
Therefore, the answer is,
[tex]\color{green}{ \boxed{ \boxed{ \sf{ 1\frac{3}{4} }}}}[/tex]
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RECALLING THE ANSWERS:
5.) 4 1/14
6.) 1 3/4
