Question

Help me please I do not know what to do​

Answer 1

(a) 5 : 8 < 7 : 10

(b) 9/6 = 36/24

Explanation:

(a)

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

`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}`

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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:

`(9)/(6)\text{ and }(36)/(24)\quad\leftrightarrow\quad\boxed{(9)/(6)=(9\cdot4)/(6\cdot4)}`