Question

Answer a, b and c. See image below

Answer 1

a) 3/5 < 4/5

b) In general if two fractions have the same denominator, then whichever fraction has the numerator closer to its denominator will be the largest fraction.

c)
`(7)/(10) > (9)/(15)` or
`(7)/(10)<(9)/(15)`

Explanation:

a) 3/5 < 4/5

Flip the sign and the placement of the fraction so 3/5 is less then 4/5.

b) In general if two fractions have the same denominator, then whichever fraction has the numerator closer to its denominator will be the largest fraction.

c) We need to change the denominators to a common denominator to compare the size of the two fractions:

`(7)/(10)` ×
`(3)/(3)` =
`(21)/(30)`

`(9)/(15)` ×
`(2)/(2)` =
`(18)/(30)`

The common denominators of the two fractions is 30. Comparing the two fractions:

`(21)/(30) >(18)/(30)` or
`(18)/(30)<(21)/(30)`

so we get:
`(7)/(10) > (9)/(15)` or
`(7)/(10)<(9)/(15)`