22.1k views
1 vote
30/7 - 19/3 + 8/21 ygyhfuftufgyugyhyigyighygiigiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii

User Job Evers
by
8.5k points

1 Answer

6 votes

Answer:

-
(35)/(21)

Explanation:


(30)/(7) -
(19)/(3) +
(8)/(21)

we require the 3 fractions to have a common denominator

the lowest common denominator of 7, 3 and 21 is 21

multiply the numerator / denominator of the first fraction by 3

multiply the numerator/denominator of the second fraction by 7

=
(30(3))/(7(3)) -
(19(7))/(3(7)) +
(8)/(21)

=
(90)/(21) -
(133)/(21) +
(8)/(21)

now combine the values on the numerator, over common denominator 21

=
(90-133+8)/(21)

=
(-35)/(21)

= -
(35)/(21)

User Carl Bergquist
by
8.3k points

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