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help me please I do not know what to do​

Help Me Please I Do Not Know What To Do class=

Sagot :

Answer:

  (a)  5 : 8 < 7 : 10

  (b) 9/6 = 36/24

Step-by-step explanation:

(a)

Perhaps simplest to explain is the use of a common denominator: 40.

  [tex]5 : 8 = (5\cdot5):(8\cdot5)=25:40\\\\7:10=(7\cdot4):(10\codt4)=28:40\\\\25:40 < 28:40\quad\leftrightarrow\quad\boxed{5:8 < 7:10}[/tex]

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Other ways you can do this comparison are ...

  Multiply by 8·10 = 80, the product of the denominators:

     5·10 = 50 < 7·8 = 56

  Convert the fractions to decimal:

     5/8 = 0.625 < 7/10 = 0.700

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(b)

Remove a factor of 4 from the second fraction:

  [tex]\dfrac{9}{6}\text{ and }\dfrac{36}{24}\quad\leftrightarrow\quad\boxed{\dfrac{9}{6}=\dfrac{9\cdot4}{6\cdot4}}[/tex]