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i need help with both of these questions please


I Need Help With Both Of These Questions Please class=

Sagot :

Answer:

[tex]\frac{22}{30} = \frac{11}{15}[/tex]

and

[tex]\frac{176}{7} = 25 \frac{1}{7}[/tex]

Step-by-step explanation:

First make all the fractions into improper fractions

[tex]1\frac{5}{6} = \frac{11}{6} \\\\2\frac{1}{2} = \frac{5}{2} \\\\3\frac{1}{7} = \frac{22}{7}[/tex]

After doing that put them back into the problems

Problem 1)

[tex]1\frac{5}{6}[/tex]  ÷ [tex]2\frac{1}{2}[/tex] , plug in the improper fractions

[tex]\frac{11}{6}[/tex] ÷ [tex]\frac{5}{2}[/tex]

to divide, you need to flip the second fraction and multiply

[tex]\frac{11}{6}[/tex]· [tex]\frac{2}{5}[/tex] = [tex]\frac{22}{30}[/tex]

then reduce

[tex]\frac{22}{30} = \frac{11}{15}[/tex]

Problem 2)

[tex]3\frac{1}{7}[/tex]÷ [tex]\frac{1}{8}\\[/tex]

Plug in improper fraction

[tex]\frac{22}{7}[/tex] ÷ [tex]\frac{1}{8}\\[/tex]

Then flip second fraction and multiply

[tex]\frac{22}{7}[/tex] · [tex]\frac{8}{1}[/tex]

Multiply

[tex]\frac{176}{7}[/tex]

Reduce, or make it a mixed number

[tex]\frac{176}{7} = 25 \frac{1}{7}[/tex]

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