The answer depends on a quarter of WHAT!
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Yes, 1.4 is bigger than 1 and a quarter. To compare them, we can convert 1 and a quarter into a decimal, which is 1.25. Since 1.4 is greater than 1.25, it is indeed larger.
half
Yes, because a quarter equals 25%.
a third
1/2 is bigger than 1/4.