Nope, one third means one out of three which is bigger than one fourth which means one out of four.
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yes it is, the smaller the denominator the bigger it is.
yes. When you are working with fractions like this, the smaller the denominator, the larger the fraction.
No. One third squared is one ninth. One ninth is smaller than one third.
No, three eighths is larger than one fourth. One fourth is equal to two eighths, and is one eighth smaller than three eighths.
One quarter 1/4 is smaller than one half 1/2