Convert the mixed numbers to improper fractions.


Aim :
We have to convert them into improper fractions as they are into mixed fractions. So let's start..!!
Solution :
1) [tex] \bf{ 1\dfrac{5}{8} }[/tex]
Multiply 8 into 1 and add 5 into it,
[tex]: \: \implies \: \sf{ \dfrac{8 \times 1 \: + \: 5}{8}} \\ \\ : \: \implies \: \sf{ \dfrac{8 \: + \: 5}{8}} \\ \\ : \: \implies \: \red{\sf{ \dfrac{13}{8}}}[/tex]
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2) [tex] \bf{ 4\dfrac{2}{5} }[/tex]
Multiply 4 into 5 and add 2 into it.
[tex]: \: \implies \: \sf{ \dfrac{4\times 5 \: + \: 2}{5}} \\ \\ : \: \implies \: \sf{ \dfrac{20 \: + \: 2}{5}} \\ \\ : \: \implies \: \red{\sf{ \dfrac{22}{5}}}[/tex]
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3) [tex] \bf{ 2\dfrac{6}{8} }[/tex]
Multiply 8 into 2 and add 6 into it after multiplying.
[tex]: \: \implies \: \sf{ \dfrac{2 \times 8 \: + \: 6}{8}} \\ \\ : \: \implies \: \sf{ \dfrac{16 \: + \: 6}{8}} \\ \\ : \: \implies \: \red{\sf{ \dfrac{22}{8}}}[/tex]