Use .or = to compare the ratios. Show your work. (a) 58 and 7 : 10 (6 9 (b) 36 and 24

Question

asked Sep 15, 2023 147k views

1 Answer

Mihca · Answer 1 · 2023-09-21T10:09:57+0000

a)

Given:

$5\colon8\text{ and 7:10}$

Rewrite the ratio into fraction form as follows.

$(5)/(8)\text{ and }(7)/(10)$

The least common multiple of 8 and 10 is 40.

Make the denominator 40 to compare the fractions.

$(5*5)/(8*5)\text{ and }(7*4)/(10*4)$

$(25)/(40)\text{ and }(28)/(40)$

We know that

$5\colon8<7\colon10$

Hence the answer is

$5\colon8<7\colon10$

b)

Given:

$(9)/(6)\text{ and }(36)/(24)$

Given fractions can be written as follows.

$(3*3)/(3*2)\text{ and }(12*3)/(12*2)$

Cancel out the common fractions.

$(3)/(2)\text{ and }(3)/(2)$

We know that

$(3)/(2)\text{=}(3)/(2)$

$(9)/(6)\text{= }(36)/(24)$

Hence the answer is

$(9)/(6)\text{= }(36)/(24)$