Answer:
(1) 40 is a common multiple of 6 and 10
False:
Multiples of 6: 6, 12, 18, 24, 30, 36, 42...
Multiples of 10: 10, 20, 30, 40...
(2) The fraction 5/6 is greater than 7/10
True:
Find common denominators. Note that what you multiply to the denominator, you multiply to the numerator.
(5/6) x (5/5) = 25/30
(7/10) x (3/3) = 21/30
25/30 > 21/30 ∴ 5/6 is greater than 7/10
(3) The fraction 42/60 is an equivalent form of 7/10
True:
Find a common denominator. Note that what you multiply to the denominator, you multiply to the numerator.
(7/10) x (6/6) = 42/10
42/10 = 42/10 ∴ 7/10 = 42/10
(4) The only value that can be used as a common denominator is 60.
False:
While 60 is a plausible denominator, there are other denominators that can be used. Remember that what you do to the denominator, you do to the numerator.
(5) Ten is a multiple of 6.
False:
Multiples of 6: 6, 12, 18, 24, 30...
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